Academic literature on the topic 'Physics and Astronomy ; Super Yang-Mills Theory'
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Journal articles on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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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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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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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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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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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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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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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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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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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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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.
Full textDissertations / Theses on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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Hughes, Edward Fauchon. "CHY formulae and soft theorems in N = 4 super Yang-Mills theory." Thesis, Queen Mary, University of London, 2017. http://qmro.qmul.ac.uk/xmlui/handle/123456789/25857.
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The study of scattering amplitudes in quantum eld theories (QFTs) is equally important for high energy phenomenology and for theoretical understanding of fundamental physics. Over the last 15 years there has been an explosion of new techniques, inspired by Witten's celebrated twistor string theory [1]. The N = 4 super Yang-Mills theory (SYM) provides a playground for applying and extending these methods, heavily constrained by spacetime, internal and hidden symmetries. Recently, Cachazo, He and Yuan proposed an algebraic construction of scattering amplitudes at tree level in various QFTs, based on the solution of certain scattering equations [2]. This formula was later extended to tree-level form factors of Tr(F2 SD) in four dimensional Yang-Mills theory [3]. In this thesis we show how this result may be naturally supersymmetrised, and derived from a dual connected formulation. Moreover, we relate our results to a geometric construction of form factors via the Grassmannian [4]. Finally, we argue that ambitwistor string theory provides a natural way to lift the result to arbitrary dimensions, paving the way for loop-level results. In complementary work, it was shown that the subleading soft behaviour of tree-level amplitudes in gauge theory and gravity is universal [5{7]. This unexpected property is related to extended symmetries of the theory acting at null in nity. Moreover, the hidden structure provides additional information relevant for resummation of physical observables. In this thesis, we extend the known results to one-loop level in N = 4 SYM, arguing that IR divergences introduce anomaly terms through nite order in the regulator. We constrain these terms using dual superconformal symmetry, and derive explicit formulae in the MHV and NMHV sectors. This thesis contains documentation for two Mathematica packages, illustrating the original calculations we have performed.
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Penante, Brenda Correa de Andrade. "On-shell methods for off-shell quantities in N = 4 Super Yang-Mills : from scattering amplitudes to form factors and the dilatation operator." Thesis, Queen Mary, University of London, 2016. http://qmro.qmul.ac.uk/xmlui/handle/123456789/23649.
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Planar maximally supersymmetric Yang-Mills theory (N = 4 SYM) is a special quantum fi eld theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability and, moreover, it is a prime example of the AdS/CFT duality. Triggered by Witten's twistor string theory [1], the past 15 years have witnessed enormous progress in reformulating this theory to make as many of these special features manifest, from the choice of convenient variables to recursion relations that allowed new mathematical structures to appear, like the Grassmannian [2]. These methods are collectively referred to as on-shell methods. The ultimate hope is that, by understanding N = 4 SYM in depth, one can learn about other, more realistic quantum fi eld theories. The overarching theme of this thesis is the investigation of how on-shell methods can aid the computation of quantities other than scattering amplitudes. In this spirit we study form factors and correlation functions, said to be partially and completely off-shell quantities, respectively. More explicitly, we compute form factors of half-BPS operators up to two loops, and study the dilatation operator in the SO(6) and SU(2j3) sectors using techniques originally designed for amplitudes. A second part of the work is dedicated to the study of scattering amplitudes beyond the planar limit, an area of research which is still in its infancy, and not much is known about which special features of the planar theory survive in the non-planar regime. In this context, we generalise some aspects of the on-shell diagram formulation of Arkani-Hamed et al. [3] to take into account non-planar corrections.
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Kanning, Nils. "On the integrable structure of super Yang-Mills scattering amplitudes." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17663.
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Die maximal supersymmetrische Yang-Mills-Theorie im vierdimensionalen Minkowski-Raum ist ein außergewöhnliches Modell der mathematischen Physik. Dies gilt vor allem im planaren Limes, in dem die Theorie integrabel zu sein scheint. So sind etwa ihre Streuamplituden auf Baumgraphenniveau Invarianten einer Yangschen Algebra, die die superkonforme Algebra psu(2,2|4) beinhaltet. Diese unendlichdimmensionale Symmetrie ist ein Kennzeichen für Integrabilität. In dieser Dissertation untersuchen wir Verbindungen zwischen solchen Amplituden und integrablen Modellen, um Grundlagen für eine effiziente, auf der Integrabilität basierende Berechnung von Amplituden zu legen. Dazu charakterisieren wir Yangsche Invarianten innerhalb der Quanten-Inverse-Streumethode, die Werkzeuge zur Behandlung integrabler Spinketten bereitstellt. In diesem Rahmen entwickeln wir Methoden zur Konstruktion Yangscher Invarianten. Wir zeigen, dass der algebraische Bethe-Ansatz für die Erzeugung von Yangschen Invarianten für u(2) anwendbar ist. Die zugehörigen Bethe-Gleichungen lassen sich leicht lösen. Unser Zugang erlaubt es zudem diese Invarianten als Zustandssummen von Vertexmodellen zu interpretieren. Außerdem führen wir ein unitäres Graßmannsches Matrixmodell zur Berechnung Yangscher Invarianten mit Oszillatordarstellungen von u(p,q|m) ein. In einem Spezialfall reduziert es sich zu dem Brezin-Gross-Witten-Model. Wir wenden eine auf Bargmann zurückgehende Integraltransformation auf unser Matrixmodell an, welche die Oszillatoren in Spinor-Helizitäts-artige Variablen überführt. Dadurch gelangen wir zu einer Weiterentwicklung der Graßmann-Integralformulierung bestimmter Amplituden. Die maßgeblichen Unterschiede sind, dass wir in der Minkowski-Signatur arbeiten und die Integrationskontur auf die unitäre Gruppenmannigfaltigkeit festgelegt ist. Wir vergleichen durch unser Integral gegebene Yangsche Invarianten mit Amplituden und kürzlich eingeführten Deformationen derselben.The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski space is an exceptional model of mathematical physics. Even more so in the planar limit, where the theory is believed to be integrable. In particular, the tree-level scattering amplitudes were shown to be invariant under the Yangian of the superconformal algebra psu(2,2|4). This infinite-dimensional symmetry is a hallmark of integrability. In this dissertation we explore connections between these amplitudes and integrable models. Our aim is to lay foundations for an efficient integrability-based computation of amplitudes. To this end, we characterize Yangian invariants within the quantum inverse scattering method, which is an extensive toolbox for integrable spin chains. Making use of this setup, we develop methods for the construction of Yangian invariants. We show that the algebraic Bethe ansatz can be specialized to yield Yangian invariants for u(2). Our approach also allows to interpret these Yangian invariants as partition functions of vertex models. What is more, we establish a unitary Graßmannian matrix model for the construction of u(p,q|m) Yangian invariants with oscillator representations. In a special case our formula reduces to the Brezin-Gross-Witten model. We apply an integral transformation due to Bargmann to our unitary Graßmannian matrix model, which turns the oscillators into spinor helicity-like variables. Thereby we are led to a refined version of the Graßmannian integral formula for certain amplitudes. The most decisive differences are that we work in Minkowski signature and that the integration contour is fixed to be a unitary group manifold. We compare Yangian invariants defined by our integral to amplitudes and recently introduced deformations thereof.
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Wilhelm, Matthias Oliver. "Form factors and the dilatation operator in N = 4 super Yang-Mills theory and its deformations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17453.
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Im ersten Teil dieser Dissertation untersuchen wir Formfaktoren von allgemeinen eichinvarianten lokalen zusammengesetzten Operatoren in der N=4 Super-Yang-Mills-Theorie bei verschiedenen Schleifenordnungen und Anzahlen externer Felder. Wir zeigen, wie Masseschalen-Methoden zu ihrer Berechnung genutzt werden können, und extrahieren aus ihnen insbesondere den Dilatationsoperator. Wir untersuchen auch die Eigenschaften der zugehörigen Rückstandsfunktionen. Des Weiteren verallgemeinern wir Masseschalen-Diagramme, Graßmann-Integrale und die integrabilitätsinspirierte Technik der R-Operatoren zur Anwendung auf Formfaktoren, wobei wir uns auf das Beispiel des chiralen Teils des Energie-Impuls-Tensors konzentrieren. Im zweiten Teil untersuchen wir die Beta- und die Gamma-i-Deformation. Bei diesen handelt es sich um die allgemeinste supersymmetrische beziehungsweise nicht-supersymmetrische feldtheoretische Deformation von N=4 Super-Yang-Mills-Theorie, welche auf der Ebene des asymptotischen Bethe-Ansatzes integrabel sind. Hierbei tritt ein neuer Effekt der endlichen Systemgröße auf, der durch Doppelspurstrukturen in der deformierten Lagrange-Dichte hervorgerufen wird und den wir Vorwickeln nennen. Während die Beta-Deformation für sich an ihren nicht-verschwindenden IR-Fixpunkten befindliche Doppelspurkopplungen konform invariant ist, weist die Gamma-i-Deformation rennende Doppelspurkopplungen ohne Fixpunkte auf, was die konforme Invarianz selbst im planaren Limes bricht. Nichtsdestotrotz erlaubt die Gamma-i-Deformation hochgradig nicht-triviale Tests der Integrabilität bei beliebig hohen Schleifenordnungen.In the first part of this thesis, we study form factors of general gauge-invariant local composite operators in N=4 super Yang-Mills theory at various loop orders and for various numbers of external legs. We show how to use on-shell methods for their calculation and in particular extract the dilatation operator from the result. We also investigate the properties of the corresponding remainder functions. Moreover, we extend on-shell diagrams, a Graßmannian integral formulation and an integrability-based construction via R-operators to form factors, focussing on the chiral part of the stress-tensor supermultiplet as an example. In the second part, we study the beta- and the gamma-i-deformation, which were respectively shown to be the most general supersymmetric and non-supersymmetric field-theory deformations of N=4 super Yang-Mills theory that are integrable at the level of the asymptotic Bethe ansatz. For these theories, a new kind of finite-size effect occurs, which we call prewrapping and which emerges from double-trace structures that are required in the deformed Lagrangians. While the beta-deformation is conformal when the double-trace couplings are at their non-trivial IR fixed points, the gamma-i-deformation has running double-trace couplings without fixed points, which break conformal invariance even in the planar theory. Nevertheless, the gamma-i-deformation allows for highly non-trivial field-theoretic tests of integrability at arbitrarily high loop orders.
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Jones, Martyna Maria. "Form factors and scattering amplitudes in supersymmetric gauge theories." Thesis, Queen Mary, University of London, 2018. http://qmro.qmul.ac.uk/xmlui/handle/123456789/53582.
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The study of scattering amplitudes in the maximally supersymmetric Yang-Mills theory (N = 4 SYM) is a thriving field of research. Since the reformulation of perturbative gauge theory as a twistor string theory by Witten, this area has witnessed a flurry of activity, leading to the discovery of a multitude of novel techniques, such as recursion relations and MHV diagrams, collectively referred to as on-shell methods. In parallel, many previously hidden properties and rich mathematical structures have been found, a powerful example of such being the dual superconformal symmetry. It is natural to ask whether this understanding can be extended to phenomenologically relevant theories as well as other quantities. The goal of the present work is to apply the modern on-shell methods to calculations of form factors, with particular focus on those which are relevant for describing Higgs production in QCD from the point of view of an effective field theory. Specifically, our analysis will be carried out in supersymmetric gauge theories at two-loop level and will consist of several steps. We focus first on operators in the SU(2j3) closed subsector of N = 4 SYM, in particular two non-protected, dimension-three operators. We then move on to consider the trilinear operator Tr(F3) and a related descendant of the Konishi operator which contains Tr(F3), also in N =4 SYM. Finally, we concentrate on two-loop form factors of these two operators in theories with less-than-maximal supersymmetry. The result of our investigation shows an emergence of a small number of universal building blocks, ultimately related to the two-loop form factor of a trilinear half-BPS operator. This finding suggests that the most complicated, maximally transcendental part of Higgs plus multi-gluon amplitudes in QCD can be equivalently computed in a remarkably simple way by considering form factors of half-BPS operators in N =4 SYM.
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Frassek, Rouven. "Q-operators, Yangian invariance and the quantum inverse scattering method." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2014. http://dx.doi.org/10.18452/17070.
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Inspiriert von den integrablen Strukturen der schwach gekoppelten planaren N=4 Super-Yang-Mills-Theorie studieren wir Q-Operatoren und Yangsche Invarianten. Wir geben eine Übersicht der Quanten-Inverse-Streumethode zusammen mit der Yang-Baxter Gleichung welche zentral für diesen systematischen Zugang zu integrablen Modellen ist. Den Fokus richten wir auf rationale integrable Spinketten und Vertexmodelle. Wir besprechen einige ihrer bekannten Gemeinsamkeiten und wie sie durch Bethe-Ansatz-Methoden mit Hilfe sogenannter Q-Funktionen gelöst werden können. Der Hauptteil basiert auf den ursprünglichen Publikationen des Autors. Zuerst konstruieren wir Q-Operatoren, deren Eigenwerte zu den Q-Funktionen rationaler homogener Spinketten führen. Die Q-Operatoren werden als Spuren gewisser Monodromien von R-Operatoren eingeführt. Unsere Konstruktion erlaubt es uns die Hierarchie der kommutierenden Q-Operatoren und ihre funktionalen Beziehungen herzuleiten. Wir studieren wie der nächste-Nachbarn Hamiltonoperator, sowie höhere lokale Ladungen direkt aus den Q-Operatoren extrahiert werden können. Danach widmen wir uns der Formulierung der Yangschen Invarianzbedingung, wie sie auch im Zusammenhang mit Baumgraphen die bei der Berechnung von Streuamplituden in der N=4 Super-Yang-Mills-Theorie auftreten, innerhalb der RTT-Realisierung. Dies erlaubt es uns den algebraischen Bethe-Ansatz anzuwenden und die dazugehörigen Bethe Gleichungen herzuleiten, welche für die Konstruktion der Eigenzustände die Yangsche Invarianz aufweisen, relevant sind. Die Komponenten dieser Eigenzustände der von uns betrachteten Spinketten können außerdem als Zustandssummen gewisser zweidimensionaler Vertexmodelle angesehen werden. Zudem analysieren wir die Verbindung zwischen den Eigenzuständen und den oben genannten Baumgraphen. Schlussendlich diskutieren wir die von uns vorgelegten Ergebnisse und deren Folgen im Hinblick auf die Erforschung der planaren N=4 Super-Yang-Mills-Theorie.Inspired by the integrable structures appearing in weakly coupled planar N=4 super Yang-Mills theory, we study Q-operators and Yangian invariants of rational integrable spin chains. We review the quantum inverse scattering method QISM along with the Yang-Baxter equation which is the key relation in this systematic approach to study integrable models. Our main interest concerns rational integrable spin chains and lattice models. We recall the relation among them and how they can be solved using Bethe ansatz methods incorporating so-called Q-functions. In order to remind the reader how the Yangian emerges in this context, an overview of its so-called RTT-realization is provided. The main part is based on the author''s original publications. Firstly, we construct Q-operators whose eigenvalues yield the Q-functions for rational homogeneous spin chains. The Q-operators are introduced as traces over certain monodromies of R-operators. Our construction allows us to derive the hierarchy of commuting Q-operators and the functional relations among them. We study how the nearest-neighbor Hamiltonian and in principle also higher local charges can be extracted from the Q-operators directly. Secondly, we formulate the Yangian invariance condition, also studied in relation to scattering amplitudes of N=4 super Yang-Mills theory, in the RTT-realization. We find that Yangian invariants can be interpreted as special eigenvectors of certain inhomogeneous spin chains. This allows us to apply the algebraic Bethe ansatz and derive the corresponding Bethe equations that are relevant to construct the invariants. We examine the connection between the Yangian invariant spin chain eigenstates whose components can be understood as partition functions of certain two-dimensional lattice models and tree-level scattering amplitudes of the four-dimensional gauge theory. Finally, we conclude and discuss some future directions and implications of our studies for planar N=4 super Yang-Mills theory.
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Wiegandt, Konstantin. "Superconformal quantum field theories in string." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2012. http://dx.doi.org/10.18452/16605.
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In dieser Dissertation werden Aspekte von superkonformen Quantenfeldtheorien untersucht, die für die sogenannte AdS/CFT Korrespondenz relevant sind. Die AdS/CFT Korrespondenz beschreibt eine Dualität zwischen Stringtheorien im Anti-de Sitter Raum und superkonformen Quantenfeldtheorien im Minkowskiraum. In diesem Kontext wurde die sog. Wilsonschleifen / Amplituden Dualität entdeckt, die die Übereinstimmung von n-Gluon MHV Amplituden und n-seitigen polygonalen Wilsonschleifen in der N=4 supersymmetrischen Yang-Mills (SYM) Theorie beschreibt. Im ersten Teil dieser Dissertation wird die Wilsonschleifenseite einer solchen möglichen Dualität in der N=6 superkonformen Chern-Simons (ABJM) Theorie untersucht. Das Hauptergebnis dieser Untersuchungen ist, dass der Erwartungswert der n-seitigen polygonalen Wilsonschleifen auf Einschleifenebene verschwindet, während er auf Zweischleifenebene in seiner funktionalen Form identisch zu der analogen Wilsonschleife in N=4 SYM auf Einschleifenniveau ist. Außerdem wird eine anomale konforme Wardidentität für Wilsonschleifen in Chern-Simons Theorie berechnet. Zudem werden die damit im Zusammenhang stehenden Entwicklungen für Amplituden und Korrelatoren in der ABJM Theorie diskutiert. Im zweiten Teil dieser Dissertation werden Dreipunktfunktionen von zwei geschützten Operatoren und einem Twist-Zwei Operator mit beleibigem Spin j in der N=4 SYM Theorie berechnet. Dafür werden die Indizes des Spin j Operators auf den Lichtkegel projiziert und der Korrelator wird in einem Grenzfall untersucht in dem der Impuls der bei dem Spin j Operator einfließt verschwindet. Dieser Grenzfall vereinfacht die perturbative Berechnung erheblich, da alle Dreipunktdiagramme effektiv auf Zweipunktdiagramme reduziert werden und die Abhängigkeit der Mischungsmatrix auf Einschleifenebene herausfällt. Das Ergebnis stimmt mit der Analyse der Operatorproduktentwicklung von Vierpunktfunktionen geschützter Operatoren von Dolan und Osborn aus dem Jahre 2004 überein.In this thesis aspects of superconformal field theories that are of interest in the so-called AdS/CFT correspondence are investivated. The AdS/CFT correspondence states a duality between string theories living on Anti-de Sitter space and superconformal quantum field theories in Minkowski space. In the context of the AdS/CFT correspondence the so-called Wilson loop / amplitude duality was discovered, stating the equality of the finite parts of n-gluon MHV amplitudes and n-sided lightlike polygonal Wilson loops in N=4 supersymmetric Yang-Mills (SYM) theory. It is the subject of the first part of this thesis to investigate the Wilson loop side of a possible similar duality in N=6 superconformal Chern-Simons matter (ABJM) theory. The main result is, that the expectation value of n-sided lightlike polygonal Wilson loops vanishes at one-loop order and at two-loop order is identical in its functional form to the Wilson loop in N=4 SYM theory at one-loop order. Furthermore, an anomalous conformal Ward identity for Wilson loops in Chern-Simons theory is derived. Related developments and symmetries of amplitudes and correlators in ABJM theory are discussed as well. In the second part of this thesis we calculate three-point functions of two protected operators and one twist-two operator with arbitrary even spin j in N =4 SYM theory. In order to carry out the calculations, the indices of the spin j operator are projected to the light-cone and the correlator is evaluated in a soft-limit where the momentum coming in at the spin j operator becomes zero. This limit largely simplifies the perturbative calculation, since all three-point diagrams effectively reduce to two-point diagrams and the dependence on the one-loop mixing matrix drops out completely. The result is in agreement with the analysis of the operator product expansion of four-point functions of half-BPS operators by Dolan and Osborn in 2004.
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Goranci, Roberto. "AdS/CFT correspondence and c-extremization." Thesis, Uppsala universitet, Teoretisk fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-331329.
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In this project we review the method of using c-extremization and computing anomalies to obtain AdS/CFT theories. We start with a quick introduction to CFT's and AdS/CFT correspondence which gives us the tools to later understand the 2D N= (2,0) SCFT and its gravity duals in particular AdS_5xS^5 and AdS_7xS^4 compactified on Riemann surfaces.
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Engquist, Johan. "Dualities, Symmetries and Unbroken Phases in String Theory : Probing the Composite Nature of the String." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5902.
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Ives, Norman. "Large R-charge operators in N =4 super Yang-Mills and their gravity duals." Thesis, 2011. http://hdl.handle.net/10539/10419.
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Ph.D., Faculty of Science, University of Witwatersrand, 2011Operators in N = 4 super Yang-Mills theory with an R-charge of O(N2) are dual to backgrounds which are asymtotically AdS5 S5. In this thesis we develop e cient techniques that allow the computation of correlation functions in these backgrounds. We nd that (i) contractions between elds in the string words and elds in the operator creating the background are the eld theory accounting of the new geometry, (ii) correlation functions of probes in these backgrounds are given by the free eld theory contractions but with rescaled propagators and (iii) in these backgrounds there are no open string excitations with their special end point interactions; we have only closed string excitations. Furthermore, these correlation functions are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge combinatorial factors. We show how these loop corrections can be resummed. As a typical example of our results, in the half-BPS background of M maximal giant gravitons we nd the usual 1=N expansion is replaced by a 1=(M +N) expansion. Further, we nd that there is a simple exact relationship between amplitudes computed in the trivial background and amplitudes computed in the background of M maximal giant gravitons. We also nd strong evidence for the BMN-type sectors suggested in arXiv:0801.4457. The problem of computing the anomalous dimensions of (nearly) half-BPS operators with a large R-charge is reduced to the problem of diagonalizing a Cuntz oscillator chain. Due to the large dimension of the operators we consider, non-planar corrections must be summed to correctly construct the Cuntz oscillator dynamics. These non-planar corrections do not represent quantum corrections in the dual gravitational theory, but rather, they account for the backreaction from the heavy operator whose dimension we study. Non-planar corrections accounting for quantum corrections seem to spoil integrability, in general. It is interesting to ask if non-planar corrections that account for the backreaction also spoil integrability. We nd a limit in which our Cuntz chain continues to admit extra conserved charges suggesting that integrability might survive.
Books on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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Shnider, S. Supermanifolds, super twistor spaces, and super Yang-Mills fields. Montréal, Québec, Canada: Presses de l'Université de Montréal, 1989.
Find full textBook chapters on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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ARMONI, A., M. SHIFMAN, and G. VENEZIANO. "FROM SUPER-YANG–MILLS THEORY TO QCD: PLANAR EQUIVALENCE AND ITS IMPLICATIONS." In From Fields to Strings: Circumnavigating Theoretical Physics, 353–444. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812775344_0013.
Full textConference papers on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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Spradlin, Marcus. "Amplitudes in N = 4 Super-Yang-Mills Theory." In 2014 Theoretical Advanced Study Institute in Elementary Particle Physics. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814678766_0007.
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NEDELIN, Anton, Joseph A. Minahan, and Maxim Zabzine. "5D super Yang-Mills theory and the correspondence to AdS7/CFT6." In The European Physical Society Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.180.0544.
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Huber, Tobias. "The three-loop form factor in N=4 super Yang-Mills." In “Loops and Legs in Quantum Field Theory ” 11th DESY Workshop on Elementary Particle Physics. Trieste, Italy: Sissa Medialab, 2013. http://dx.doi.org/10.22323/1.151.0026.
Full textReports on the topic "Physics and Astronomy ; Super Yang-Mills Theory"
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Bern, Z. N=4 Super-Yang-Mills Theory, QCD and Collider Physics. Office of Scientific and Technical Information (OSTI), October 2004. http://dx.doi.org/10.2172/839969.
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