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Journal articles on the topic 'Physics and Astronomy ; Super Yang-Mills Theory'

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Published: 4 June 2021

Last updated: 7 February 2022

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1

Bern, Zvi, Lance J. Dixon, and David A. Kosower. "Super-Yang–Mills theory, QCD and collider physics." Comptes Rendus Physique 5, no. 9-10 (November 2004): 955–64. http://dx.doi.org/10.1016/j.crhy.2004.09.007.

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2

Morita, Takeshi. "Super Yang-Mills Theory from a Supermatrix Model." Progress of Theoretical Physics 116, no. 1 (July 2006): 217–40. http://dx.doi.org/10.1143/ptp.116.217.

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3

Förste, Stefan, Debashis Ghoshal, and Stefan Theisen. "Wilson Loop inN = 4 Super Yang-Mills Theory." Fortschritte der Physik 48, no. 1-3 (January 2000): 111–14. http://dx.doi.org/10.1002/(sici)1521-3978(20001)48:1/3<111::aid-prop111>3.0.co;2-v.

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4

Acharya, B. S. "M theory, Joyce orbifolds and super Yang–Mills." Advances in Theoretical and Mathematical Physics 3, no. 2 (1999): 227–48. http://dx.doi.org/10.4310/atmp.1999.v3.n2.a3.

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5

MÜLSCH, D., and B. GEYER. "G2-INVARIANT 7D EUCLIDEAN SUPER YANG–MILLS THEORY AS 7-DIMENSIONAL ANALOGUE OF 3D SUPER-BF THEORY." International Journal of Geometric Methods in Modern Physics 01, no. 03 (June 2004): 185–99. http://dx.doi.org/10.1142/s0219887804000137.

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A formulation of NT=1, D=8 Euclidean super Yang–Mills theory with generalized self-duality and reduced Spin(7)-invariance is given which avoids the peculiar extra constraints introduced by Nishino and Rajpoot. Its reduction to seven dimensions leads to the G2-invariant NT=2, D=7 super Yang–Mills theory which may be regarded as a higher-dimensional analogue of the NT=2, D=3 super-BF theory. When further reducing that G2-invariant theory to three dimensions one gets the NT=2 super-BF theory coupled to a spinorial hypermultiplet.

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6

CHEN, GENGSHENG, MINGXING LUO, and CONGKAO WEN. "LOOPS IN SUPER YANG-MILLS THEORIES." Modern Physics Letters A 22, no. 07n10 (March 28, 2007): 675–81. http://dx.doi.org/10.1142/s0217732307023274.

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We report recent analysis of one-loop scattering amplitudes in N =4 super Yang-Mills theories, in the paradigm of maximally helicity violating Feynman diagrams. Non-planar amplitudes are found to be related to planar ones in the same manners as those in conventional field theory. More so, there are are very limited number of loop integrals to be evaluated. For a process with n external particles, there are only [n/2]-1 generically independent integrals.

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7

Itoh, K., M. Kato, H. Sawanaka, H. So, and N. Ukita. "Toward a Super Yang-Mills Theory on the Lattice." Progress of Theoretical Physics 108, no. 2 (August 1, 2002): 363–74. http://dx.doi.org/10.1143/ptp.108.363.

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8

Putz, V., and R. Wulkenhaar. "Seiberg–Witten Map for Noncommutative Super Yang–Mills Theory." International Journal of Modern Physics A 18, no. 19 (July 30, 2003): 3325–34. http://dx.doi.org/10.1142/s0217751x03015246.

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In this paper we derive the Seiberg–Witten map for noncommutative super Yang–Mills theory in Wess–Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz transformation and a remainder which gives directly the Seiberg–Witten differential equations. These differential equations lead to a θ-expansion of the noncommutative super Yang–Mills action which is invariant under commutative gauge transformations and commutative observer Lorentz transformation, but not invariant under commutative supersymmetry transformations: The θ-expansion of noncommutative supersymmetry leads to a θ-dependent symmetry transformation. For this reason the Seiberg–Witten map of super Yang–Mills theory cannot be expressed in terms of superfields.

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9

Buchbinder, I. L. "Low-Energy Effective Action inN = 4 Super Yang-Mills Theory." Fortschritte der Physik 48, no. 1-3 (January 2000): 45–48. http://dx.doi.org/10.1002/(sici)1521-3978(20001)48:1/3<45::aid-prop45>3.0.co;2-b.

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10

Kim, N. "Plane wave matrix theory vs. = 4D= 4 super Yang-Mills." Fortschritte der Physik 52, no. 67 (June 1, 2004): 561–67. http://dx.doi.org/10.1002/prop.200410145.

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11

Loumi-Fergane, H., and M. Tahiri. "Quantized super-Yang - Mills theory in the superfibre bundle approach." Classical and Quantum Gravity 13, no. 5 (May 1, 1996): 865–74. http://dx.doi.org/10.1088/0264-9381/13/5/008.

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12

NISHINO, HITOSHI. "SUPER-LAX OPERATOR EMBEDDED IN SELF-DUAL SUPERSYMMETRIC YANG-MILLS THEORY." Modern Physics Letters A 11, no. 30 (September 28, 1996): 2417–26. http://dx.doi.org/10.1142/s021773239600240x.

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We show that the super-Lax operator for N=1 supersymmetric Kadomtsev-Petviashvili (SKP) equation of Manin and Radul in three dimensions can be embedded into recently developed self-dual supersymmetric Yang-Mills theory in 2+2 dimensions, based on general features of its underlying super-Lax equation. The whole hierarchy of the SKP equations of Manin and Radul is generated by geometrical superfield equations of self-dual supersymmetric Yang-Mills theory. The differential geometrical relationship in superspace between the embedding principle of the super-Lax operator and its associated super-Sato equation is clarified. This result provides a good guiding principle for the embedding of other integrable subsystems in the super-Lax equation into the four-dimensional self-dual supersymmetric Yang-Mills theory, which is the consistent background for N=2 superstring theory, and potentially generates other unknown supersymmetric integrable models in lower dimensions.

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13

GOTOH, YOSHINORI, and IKUO OKOUCHI. "SUPER FIVE-BRANES IN D=10, N=1 SUPER-YANG–MILLS THEORY." Modern Physics Letters A 13, no. 22 (July 20, 1998): 1819–26. http://dx.doi.org/10.1142/s021773239800190x.

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14

FLUME, R., and R. POGHOSSIAN. "INSTANTON CALCULATIONS IN N=2 SUPER YANG-MILLS THEORY." International Journal of Modern Physics A 19, supp02 (May 2004): 168–73. http://dx.doi.org/10.1142/s0217751x04020385.

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15

Ida, M. "A Super-Yang-Mills Theory Leading to the Chiral Preon Model." Progress of Theoretical Physics 75, no. 1 (January 1, 1986): 105–17. http://dx.doi.org/10.1143/ptp.75.105.

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16

MÜLSCH, D., and B. GEYER. "EUCLIDEAN SUPER YANG–MILLS THEORY ON A HYPER-KÄHLER EIGHT-FOLD." International Journal of Geometric Methods in Modern Physics 02, no. 03 (June 2005): 409–24. http://dx.doi.org/10.1142/s0219887805000570.

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17

COOK, JAMES S., and RONALD FULP. "HOLONOMY IN ROGERS SUPERMANIFOLDS WITH APPLICATIONS TO SUPER YANG–MILLS THEORY." International Journal of Geometric Methods in Modern Physics 08, no. 02 (March 2011): 429–58. http://dx.doi.org/10.1142/s0219887811005221.

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The present paper focuses on a certain class of Banach manifolds we call Rogers supermanifolds since they are indeed supermanifolds modeled on graded Banach spaces. Although the subject of holonomy is well-developed for superanalytic supermanifolds utilizing local ring formulations of supermanifolds this seems not to be the case for supermanifolds modeled on graded Banach manifolds in the sense of Rogers. The proof of our main result requires a partial development of these concepts for such supermanifolds. Our main result determines conditions under which a super connection on a superprincipal bundle [Formula: see text] induces a connection on a quotient superprincipal bundle [Formula: see text] where [Formula: see text] is a foliation of [Formula: see text] and [Formula: see text] is the induced foliation on [Formula: see text]. We also show how such a quotient formulation may be used to describe in a fully geometric fashion the so-called "conventional constraints" of super Yang–Mills theory. One consequence of our development is that instead of requiring two superconnections to describe Yang–Mills theory as is the case in some formulations, we describe the relevant concepts using a single superconnection and moreover we show that the "pregauge transformations" are simply ordinary gauge transformations on the appropriate quotient bundles.

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18

SPENCE, B. "BRST INVARIANCE WITH BACKGROUND FIELDS." Modern Physics Letters A 01, no. 06 (September 1986): 421–32. http://dx.doi.org/10.1142/s0217732386000531.

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We apply the horizontality method for obtaining BRST transformations and invariant actions to cases where background fields are present. We consider Yang-Mills and pure gravity and in superspace N=1 super Yang-Mills, chiral matter and the free gravitino multiplet. In the super Yang-Mills case we see a simple example of a recent observation that the Nielsen-Kallosh ghosts of a theory are the BRST auxiliary fields.

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19

KHELASHVILI, G. A., and V. I. OGIEVETSKY. "NON-RENORMALIZABILITY OF THE MASSIVE N = 2 SUPER-YANG–MILLS THEORY." Modern Physics Letters A 06, no. 23 (July 30, 1991): 2143–54. http://dx.doi.org/10.1142/s0217732391002335.

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The massive N = 2 supersymmetric Yang–Mills theory is investigated. Its non-renormalizability is revealed starting from the fourth order of the perturbation theory. The N = 2 harmonic superspace approach and the Stueckelberg-like formalism are used. The Stueckelberg fields form some nonlinear sigma model. Non-renormalizability of the latter produces non-renormalizability of the N = 2 supersymmetric Yang–Mills theory.

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20

Doran, C. F., M. Faux, and B. A. Ovrut. "Four-dimensional $N = 1$ super Yang–Mills theory from an $M$-theory orbifold." Advances in Theoretical and Mathematical Physics 6, no. 2 (2002): 329–55. http://dx.doi.org/10.4310/atmp.2002.v6.n2.a5.

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21

ÜLKER, K. "N=2 SUPER-YANG–MILLS ACTION AND BRST COHOMOLOGY." Modern Physics Letters A 19, no. 09 (March 21, 2004): 713–26. http://dx.doi.org/10.1142/s0217732304013234.

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The extended BRST cohomology of N=2 super-Yang–Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized Slavnov–Taylor operator ℬ. It is then shown that both off- and on-shell N=2 super-Yang–Mills actions are related to a lower-dimensional gauge-invariant field polynomial Tr ϕ2 by solving these descent equations. Moreover, it is found that these off- and on-shell solutions differ only by a ℬ-exact term, which can be interpreted as a consequence of the fact that the cohomology of both cases are the same.

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22

AGARWAL, ABHISHEK. "MASS DEFORMATIONS OF SUPER YANG–MILLS THEORIES IN D = 2 + 1, AND SUPER-MEMBRANES: A NOTE." Modern Physics Letters A 24, no. 03 (January 30, 2009): 193–211. http://dx.doi.org/10.1142/s0217732309028904.

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Mass deformations of supersymmetric Yang–Mills theories in three spacetime dimensions are considered. The gluons of the theories are made massive by the inclusion of a nonlocal gauge and Poincaré invariant mass term due to Alexanian and Nair, while the matter fields are given standard Gaussian mass-terms. It is shown that the dimensional reduction of such mass-deformed gauge theories defined on R3 or R × T2 produces matrix quantum mechanics with massive spectra. In particular, all known massive matrix quantum mechanical models obtained by the deformations of dimensional reductions of minimal super Yang–Mills theories in diverse dimensions are shown also to arise from the dimensional reductions of appropriate massive Yang–Mills theories in three spacetime dimensions. Explicit formulas for the gauge theory actions are provided.

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23

Minahan, Joseph A., Anton Nedelin, and Maxim Zabzine. "5D super Yang–Mills theory and the correspondence to AdS7/CFT6." Journal of Physics A: Mathematical and Theoretical 46, no. 35 (August 8, 2013): 355401. http://dx.doi.org/10.1088/1751-8113/46/35/355401.

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24

CASTRO PERELMAN, CARLOS. "THE EXCEPTIONAL E8 GEOMETRY OF CLIFFORD (16) SUPERSPACE AND CONFORMAL GRAVITY YANG–MILLS GRAND UNIFICATION." International Journal of Geometric Methods in Modern Physics 06, no. 03 (May 2009): 385–417. http://dx.doi.org/10.1142/s0219887809003588.

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We continue to study the Chern–Simons E8 Gauge theory of Gravity developed by the author which is a unified field theory (at the Planck scale) of a Lanczos–Lovelock Gravitational theory with a E8 Generalized Yang–Mills (GYM) field theory, and is defined in the 15D boundary of a 16D bulk space. The Exceptional E8 Geometry of the 256-dim slice of the 256 × 256-dimensional flat Clifford (16) space is explicitly constructed based on a spin connection [Formula: see text], that gauges the generalized Lorentz transformations in the tangent space of the 256-dim curved slice, and the 256 × 256 components of the vielbein field [Formula: see text], that gauge the nonabelian translations. Thus, in one-scoop, the vielbein [Formula: see text] encodes all of the 248 (nonabelian) E8 generators and 8 additional (abelian) translations associated with the vectorial parts of the generators of the diagonal subalgebra [Cl(8) ⊗ Cl(8)] diag ⊂ Cl(16). The generalized curvature, Ricci tensor, Ricci scalar, torsion, torsion vector and the Einstein–Hilbert–Cartan action is constructed. A preliminary analysis of how to construct a Clifford Superspace (that is far richer than ordinary superspace) based on orthogonal and symplectic Clifford algebras is presented. Finally, it is shown how an E8 ordinary Yang–Mills in 8D, after a sequence of symmetry breaking processes E8 → E7 → E6 → SO(8, 2), and performing a Kaluza–Klein–Batakis compactification on CP2, involving a nontrivial torsion, leads to a (Conformal) Gravity and Yang–Mills theory based on the Standard Model in 4D. The conclusion is devoted to explaining how Conformal (super) Gravity and (super) Yang–Mills theory in any dimension can be embedded into a (super) Clifford-algebra-valued gauge field theory.

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25

BICHL, A. A., M. ERTL, A. GERHOLD, J. M. GRIMSTRUP, L. POPP, V. PUTZ, M. SCHWEDA, H. GROSSE, and R. WULKENHAAR. "NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS." International Journal of Modern Physics A 19, no. 25 (October 10, 2004): 4231–49. http://dx.doi.org/10.1142/s0217751x04018221.

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The quantization of the noncommutative [Formula: see text], U(1) super-Yang–Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of noncommutative supersymmetric field theories.

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26

Maggiore, Nicola, and Marco Picollo. "Let us twist again: N = 2 super-Yang–Mills theory coupled to matter." Classical and Quantum Gravity 28, no. 8 (April 4, 2011): 085022. http://dx.doi.org/10.1088/0264-9381/28/8/085022.

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27

KATO, JUNJI, NOBORU KAWAMOTO, and YUKIYA UCHIDA. "TWISTED SUPERSPACE FOR N=D=2 SUPER BF AND YANG–MILLS WITH DIRAC–KÄHLER FERMION MECHANISM." International Journal of Modern Physics A 19, no. 13 (May 20, 2004): 2149–82. http://dx.doi.org/10.1142/s0217751x0401763x.

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We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudoscalar super charges and the N=2 spinor super charges is established. We claim that this relation is essentially related with the Dirac–Kähler fermion mechanism. We show that a fermionic bilinear form of twisted N=2 chiral and anti-chiral superfields is equivalent to the quantized version of BF theory with the Landau type gauge fixing while a bosonic bilinear form leads to the N=2 Wess–Zumino action. We then construct a Yang–Mills action described by the twisted N=2 chiral and vector superfields, and show that the action is equivalent to the twisted version of the D=N=2 super Yang–Mills action, previously obtained from the quantized generalized topological Yang–Mills action with instanton gauge fixing.

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28

MARU, NOBUHITO, and JUN NISHIMURA. "LATTICE FORMULATION OF SUPERSYMMETRIC YANG–MILLS THEORIES WITHOUT FINE TUNING." International Journal of Modern Physics A 13, no. 16 (June 30, 1998): 2841–55. http://dx.doi.org/10.1142/s0217751x9800144x.

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We consider an application of the overlap formalism to supersymmetric Yang–Mills theory in three dimensions. We extend the overlap formalism for 3D Dirac fermion to Majorana fermion and show that the parity invariance is exactly preserved, which ensures that the continuum limit is supersymmetric without fine tuning. For SU (N) gauge group, N must be taken to be even in order to make the theory free from global gauge anomaly. We also discuss how to obtain two-dimensional super Yang–Mills theory from the 3D theory through dimensional reduction on the lattice.

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29

Elias, V., R. B. Mann, A. M. Chowdhury, G. McKeon, S. Samant, and S. B. Phillips. "Preregularization." Canadian Journal of Physics 63, no. 11 (November 1, 1985): 1453–65. http://dx.doi.org/10.1139/p85-244.

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We describe and investigate the applicability of a recently proposed preregularization procedure in which arbitrary shift-of-integration-variable surface terms (in four dimensions) arising from loop-mementum ambiguities are constrained to absorb any contributions to unrenormalized Feynman amplitudes that violate Ward–Takahashi–Slavnov–Taylor (WTST) identities appropriate to the theory under consideration. Anomalies in WTST identities are shown to be the result of having insufficient arbitrariness in the loop momenta to accommodate the full set of Lagrangian symmetries. We demonstrate the utility of our procedure by analyzing the chiral anomaly in even dimensions, the supercurrent anomaly in N = 1 super Yang–Mills theory, and by calculations in quantum electrodynamics and Yang–Mills theory. We argue that the preregularization procedure should be particularly well suited to supersymmetric theories as a regularization-independent means of upholding super-WTST identities.

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30

HELAYEL-NETO, J. A., A. WILLIAM SMITH, and SUBHASH RAJPOOT. "ASYMPTOTIC BEHAVIOR OF PHYSICAL AMPLITUDES IN THE N=4 SUPER YANG-MILLS THEORY." International Journal of Modern Physics A 05, no. 14 (July 20, 1990): 2865–84. http://dx.doi.org/10.1142/s0217751x90001355.

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Using the N=4 super-Yang-Mills theory softly broken by supersymmetric N=1 mass terms for the matter superfields, we compute the one-loop chiral+chiral→antichiral+antichiral scattering amplitude directly in superspace. By suitable choices of the mass parameters, one can endow the model with a hierarchy of light and heavy particles, and the decoupling of the heavy sector from the light-light physical amplitude is studied. We also analyze the high-energy limit of the cross-section for a two physical scalar scattering and find a (logs) behavior, which then respects the Froissart bound.

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31

Popov, Alexander D., and Christian Sämann. "On supertwistors, the Penrose--Ward transform and $\CN=4$ super-Yang--Mills theory." Advances in Theoretical and Mathematical Physics 9, no. 6 (2005): 931–98. http://dx.doi.org/10.4310/atmp.2005.v9.n6.a2.

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32

Gaiotto, David, and Edward Witten. "$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory." Advances in Theoretical and Mathematical Physics 13, no. 3 (2009): 721–896. http://dx.doi.org/10.4310/atmp.2009.v13.n3.a5.

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33

Cederwall, Martin. "An Off-Shell Superspace Reformulation of D = 4, N = 4 Super-Yang-Mills Theory." Fortschritte der Physik 66, no. 1 (January 2018): 1700082. http://dx.doi.org/10.1002/prop.201700082.

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34

GUBSER, STEVEN S. "HEAVY ION COLLISIONS AND BLACK HOLE DYNAMICS." International Journal of Modern Physics D 17, no. 03n04 (March 2008): 673–78. http://dx.doi.org/10.1142/s0218271808012425.

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Relativistic heavy ion collisions create a strongly coupled quark–gluon plasma. Some of the plasma's properties can be approximately understood in terms of a dual black hole. These properties include shear viscosity, thermalization time, and drag force on heavy quarks. They are hard to calculate from first principles in QCD. Extracting predictions about quark–gluon plasmas from dual black holes mostly involves solving Einstein's equations and classical string equations of motion. AdS/CFT provides a translation from gravitational calculations to gauge theory predictions. The gauge theory to which the predictions apply is [Formula: see text] super-Yang–Mills theory. QCD is different in many respects from super-Yang–Mills, but it seems that its high temperature properties are similar enough for us to make some meaningful comparisons.

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35

CAMPOS, R. DE AZEREDO, and J. M. L. FISCH. "HAMILTONIAN FORMULATION OF THE N=1D=10 SUPERGRAVITY COUPLED TO SUPER YANG-MILLS THEORY." International Journal of Modern Physics A 03, no. 10 (October 1988): 2371–400. http://dx.doi.org/10.1142/s0217751x88001016.

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We derive in full details the Hamiltonian formulation of the N=1D=10 supergravity coupled to super Yang-Mills theory. In particular, we present the explicit form of the first class constraints and compute the constraints gauge algebra.

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36

Jin, Q., and R. Roiban. "On the non-planar β-deformed $\mathcal{N}=4$ super-Yang–Mills theory." Journal of Physics A: Mathematical and Theoretical 45, no. 29 (July 3, 2012): 295401. http://dx.doi.org/10.1088/1751-8113/45/29/295401.

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37

SASAKI, TORU. "GAP CONDITION AND SELF-DUALIZED ${\mathcal N}=4$ SUPER-YANG–MILLS THEORY FOR ADE GAUGE GROUP ON K3." Modern Physics Letters A 19, no. 07 (March 7, 2004): 511–31. http://dx.doi.org/10.1142/s0217732304013052.

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We try to determine the partition function of [Formula: see text] super-Yang–Mills theory for ADE gauge group on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.

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38

Azuma, Takehiro, and Hikaru Kawai. "OPE between the Energy-Momentum Tensor and the Wilson Loop in Super-Yang-Mills Theory." Progress of Theoretical Physics 106, no. 2 (August 2001): 255–92. http://dx.doi.org/10.1143/ptp.106.255.

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39

FERRARI, FRANK. "THE MICROSCOPIC APPROACH TO $\mathcal{N} = 1$ SUPER YANG-MILLS THEORIES." International Journal of Modern Physics A 23, no. 14n15 (June 20, 2008): 2307–23. http://dx.doi.org/10.1142/s0217751x08041153.

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We give a brief account of the recent progresses in super Yang-Mills theories based in particular on the application of Nekrasov's instanton technology to the case of [Formula: see text] supersymmetry. We have developed a first-principle formalism from which any chiral observable in the theory can be computed, including in strongly coupled confining vacua. The correlators are first expressed in terms of some external variables as sums over colored partitions. The external variables are then fixed to their physical values by extremizing the microscopic quantum superpotential. Remarquably, the results can be shown to coincide with the Dijkgraaf-Vafa matrix model approach, which uses a totally different mathematical framework. These results clarify many important properties of [Formula: see text] theories, related in particular to generalized Konishi anomaly equations and to Veneziano-Yankielowicz terms in the glueball superpotentials. The proof of the equivalence between the formalisms based on colored partitions and on matrices is also a proof of the open/closed string duality in the chiral sector of the theories.

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40

BJERRUM-BOHR, N. E. J., and PIERRE VANHOVE. "SURPRISING SIMPLICITY OF $\mathcal{N}=8$ SUPERGRAVITY." International Journal of Modern Physics D 18, no. 14 (December 31, 2009): 2295–301. http://dx.doi.org/10.1142/s0218271809015874.

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Gravity amplitudes are, via the Kawai–Lewellen–Tye relations intimately linked to products of Yang–Mills amplitudes. Explicitly, this shows up in computations of [Formula: see text] supergravity where the perturbative expansion and ultraviolet behavior of this theory is akin to [Formula: see text] super-Yang–Mills at least through three loops. Full persistence to all loop orders would be truly remarkable and imply finiteness of [Formula: see text] supergravity in four dimensions.

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41

MAGGIORE, NICOLA. "ALGEBRAIC RENORMALIZATION OF N=2 SUPER YANG-MILLS THEORIES COUPLED TO MATTER." International Journal of Modern Physics A 10, no. 26 (October 20, 1995): 3781–801. http://dx.doi.org/10.1142/s0217751x95001789.

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We study the algebraic renormalization of N=2 supersymmetric Yang-Mills theories coupled to matter. A regularization procedure preserving both the BRS invariance and the supersymmetry is not known yet, so it is necessary to adopt the algebraic method of renormalization, which does not rely on any regularization scheme. The whole analysis is reduced to the solution of cohomology problems arising from the generalized Slavnov operator which summarizes all the symmetries of the model. Besides unphysical renormalizations of the quantum fields, we find that the only coupling constant of N=2 supersymmetric Yang-Mills theories can get quantum corrections. Moreover, we prove that all the symmetries defining the theory are algebraically anomaly-free.

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42

MAJUMDAR, A. S., A. MUKHERJEE, and R. P. SAXENA. "COSMOLOGICAL COMPACTIFICATION OF SUPERSTRINGS WITH DYNAMICAL DILATON FIELD IN FOUR DIMENSIONS." Modern Physics Letters A 07, no. 39 (December 21, 1992): 3647–52. http://dx.doi.org/10.1142/s0217732392003074.

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The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory is studied. On requiring supersymmetry and the existence of a dynamical dilaton field in four dimensions, non-trivial evolution for the scale factor is obtained.

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43

CVETIČ, GORAZD, IGOR KONDRASHUK, and IVAN SCHMIDT. "EFFECTIVE ACTION OF DRESSED MEAN FIELDS FOR $\mathcal{N}=4$ SUPER-YANG–MILLS THEORY." Modern Physics Letters A 21, no. 14 (May 10, 2006): 1127–35. http://dx.doi.org/10.1142/s0217732306019591.

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Based on general considerations such as R-operation and Slavnov–Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular structure in [Formula: see text] supersymmetric Yang–Mills theory for kernels of the effective action expressed in terms of the dressed effective fields. These dressed effective fields have been introduced in our previous papers as actual variables of the effective action. The concept of dressed effective fields naturally appears in the framework of solution to Slavnov–Taylor identity. The particularity of the structure is the independence of these kernels on the ultraviolet regularization scale Λ. These kernels are functions of mutual spacetime distances and of the gauge coupling. The fact that β function in this theory is zero is used significantly.

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44

Cederwall, Martin. "Boundaries of 11-Dimensional Membranes." Modern Physics Letters A 12, no. 34 (November 10, 1997): 2641–45. http://dx.doi.org/10.1142/s0217732397002776.

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The action for an 11-dimensional supermembrane contains a chiral Wess–Zumino–Witten model coupling to the E8 super-Yang–Mills theory on the end-of-the-world nine-brane. It is demonstrated that this boundary string theory is dictated both by gauge invariance and by κ-symmetry.

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45

Okumura, Yoshitaka. "Note on the $N=2$ super Yang-Mills gauge theory in a noncommutative differential geometry." European Physical Journal C 1, no. 3 (February 1998): 735–38. http://dx.doi.org/10.1007/s100520050119.

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Brevik, Iver, and John Quiroga. "Letter: Inflationary Dilatonic de Sitter Universe from Super Yang-Mills Theory Perturbed by Scalars and Spinors." General Relativity and Gravitation 36, no. 6 (June 2004): 1433–40. http://dx.doi.org/10.1023/b:gerg.0000022579.16135.9b.

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Schwarz, John H. "The AdS 5 × S 5 superstring." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2240 (August 2020): 20200305. http://dx.doi.org/10.1098/rspa.2020.0305.

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The duality between the type IIB superstring theory in an AdS 5 × S 5 background with N units of five-form flux and N = 4 super Yang–Mills theory with a U ( N ) gauge group has been studied extensively. My version of the construction of the superstring world-sheet action is reviewed here.

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HARTWELL, G. G., and P. S. HOWE. "(N, p, q) HARMONIC SUPERSPACE." International Journal of Modern Physics A 10, no. 27 (October 30, 1995): 3901–19. http://dx.doi.org/10.1142/s0217751x95001820.

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A family of harmonic superspaces associated with four-dimensional Minkowski space-time is described. Applications are made to free massless supermultiplets, invariant integrals and super-Yang-Mills theory. Generalization to curved space-times is performed, with emphasis on conformal supergravities.

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49

ASSAOUI, F., N. BENHAMOU, and T. LHALLABI. "TWO-DIMENSIONAL (4,4) SUPERSYMMETRY AND NON-ABELIAN DUALITY." International Journal of Modern Physics A 14, no. 32 (December 30, 1999): 5093–104. http://dx.doi.org/10.1142/s0217751x99002402.

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The (4,4) supersymmetric dual gauge action of the two-dimensional (4,4) super-Yang–Mills theory is constructed and the corresponding gauge anomaly is expressed. The Abelian and non-Abelian T duality of the two-dimensional (4,4) supersymmetric sigma model are discussed.

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ITO, KATSUSHI. "COMMENTS ON GLUON SCATTERING AMPLITUDES IN $\mathcal{N} = 4$ SUPER YANG-MILLS THEORY AT STRONG COUPLING." International Journal of Modern Physics A 23, no. 14n15 (June 20, 2008): 2135–42. http://dx.doi.org/10.1142/s0217751x08040676.

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We review recent developments in calculation of the gluon scattering amplitudes in [Formula: see text] super Yang-Mills theory at strong coupling via AdS/CFT correspondence. We discuss certain class of 6 and 8 point amplitudes at strong coupling, which can be obtained by cutting and gluing the 4-point amplitude.

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