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Journal articles on the topic 'Energy monodromy'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Omiste, Juan J., Rosario González-Férez, and Rafael Ortega. "An introduction to classical monodromy: Applications to molecules in external fields." Journal of Mathematical Physics 63, no. 3 (2022): 032702. http://dx.doi.org/10.1063/5.0079354.

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An integrable Hamiltonian system presents monodromy if the action-angle variables cannot be defined globally. As a prototype of classical monodromy with azimuthal symmetry, we consider a linear molecule interacting with external fields and explore the topology structure of its phase space. Based on the behavior of closed orbits around singular points or regions of the energy–momentum plane, a semi-theoretical method is derived to detect classical monodromy. The validity of the monodromy test is numerically illustrated for several systems with azimuthal symmetry.

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2

Martynchuk, N., H. W. Broer, and K. Efstathiou. "Hamiltonian Monodromy and Morse Theory." Communications in Mathematical Physics 375, no. 2 (2019): 1373–92. http://dx.doi.org/10.1007/s00220-019-03578-2.

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Abstract We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the system. Our proof is based on Takens’s index theorem, which specifies how the energy-h Chern number changes when h passes a non-degenerate critical value, and a choice of admissible cycles in Fomenko–Zieschang theory. Connections of our result to some of the existing approaches to monodromy are discussed.

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3

Nekhoroshev, Nikolaií N., Dmitrií A. Sadovskií, and Boris I. Zhilinskií. "Fractional Hamiltonian Monodromy." Annales Henri Poincaré 7, no. 6 (2006): 1099–211. http://dx.doi.org/10.1007/s00023-006-0278-4.

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4

Li, Tianjun, Zhijin Li, and Dimitri V. Nanopoulos. "Helical Phase Inflation and Monodromy in Supergravity Theory." Advances in High Energy Physics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/397410.

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We study helical phase inflation which realizes “monodromy inflation” in supergravity theory. In the model, inflation is driven by the phase component of a complex field whose potential possesses helicoid structure. We construct phase monodromy based on explicitly breaking globalU(1)symmetry in the superpotential. By integrating out heavy fields, the phase monodromy from single complex scalar field is realized and the model fulfills natural inflation. The phase-axion alignment is achieved from explicitly symmetry breaking and gives super-Planckian phase decay constant. TheF-term scalar potenti

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5

El-Menoufi, Basem Kamal, Silvia Nagy, Florian Niedermann, and Antonio Padilla. "Quantum corrections to vacuum energy sequestering (with monodromy)." Classical and Quantum Gravity 36, no. 21 (2019): 215014. http://dx.doi.org/10.1088/1361-6382/ab46f6.

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6

DAS, ASHOK, A. MELIKYAN, and JNANADEVA MAHARANA. "MONODROMY MATRIX IN THE pp-WAVE LIMIT." International Journal of Modern Physics A 19, no. 26 (2004): 4503–15. http://dx.doi.org/10.1142/s0217751x04019937.

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We consider the pp-wave limit of an exactly solvable gauged WZWN model proposed by Sfetsos and Tseytlin. The monodromy matrix is constructed for the model by adopting the methods utilized by us earlier. The pole structure of the monodromy matrix is analyzed and their properties are discussed in the context of the pp-wave limit of the gauged WZWN model.

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7

Copeland, Edmund J., Francesc Cunillera, Adam Moss, and Antonio Padilla. "CMB constraints on monodromy inflation at strong coupling." Journal of Cosmology and Astroparticle Physics 2022, no. 09 (2022): 080. http://dx.doi.org/10.1088/1475-7516/2022/09/080.

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Abstract We carry out a thorough numerical examination of field theory monodromy inflation at strong coupling. We perform an MCMC analysis using a Gaussian likelihood, fitting multiparameter models using CMB constraints on the spectral index and the tensor to scalar ratio. We show that models with uniquely positive Wilson coefficients are ruled out. If there are coefficients that can take on both signs, there can be a cancellation of terms that flattens the potentials and allows one to satisfy current data, and forecasts with strong constraints on the tensor to scalar ratio. Models of field th

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8

Furlan, Paolo, Ludmil K. Hadjiivanov, and Ivan T. Todorov. "A Quantum Gauge Group Approach to the 2D SU(n) WZNW Model." International Journal of Modern Physics A 12, no. 01 (1997): 23–32. http://dx.doi.org/10.1142/s0217751x97000049.

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The cannonical quantization of the WZNW model provides a complete set of exchange relation in the enlarged chiral state spaces that include the Gauss components M±, [Formula: see text] of the monodromy matrices M, [Formula: see text]. Regarded as new dynamical variables, the elements of M and [Formula: see text] cannot be identified — they satisfy different exchange relations. Accordingly, the two dimensional theory expressed in terms of the left and right movers' fields does not automatically respect monodromy invariance. Continuing our recent work on the subject we show that the definition o

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9

Ferrari, Franco, and Jan T. Sobczyk. "Monodromy properties of energy momentum tensor on general algebraic curves." Journal of Geometry and Physics 29, no. 1-2 (1999): 161–76. http://dx.doi.org/10.1016/s0393-0440(98)00039-4.

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10

Brandenberger, Robert H., Anke Knauf, and Larissa C. Lorenz. "Reheating in a brane monodromy inflation model." Journal of High Energy Physics 2008, no. 10 (2008): 110. http://dx.doi.org/10.1088/1126-6708/2008/10/110.

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11

Ito, Kei. "Seiberg's duality from monodromy of conifold singularity." Physics Letters B 457, no. 4 (1999): 285–90. http://dx.doi.org/10.1016/s0370-2693(99)00549-3.

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12

Hebecker, Arthur, Jakob Moritz, Alexander Westphal, and Lukas T. Witkowski. "Axion monodromy inflation with warped KK-modes." Physics Letters B 754 (March 2016): 328–34. http://dx.doi.org/10.1016/j.physletb.2016.01.030.

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13

Dunajski, Maciej, and Prim Plansangkate. "Topology and energy of time-dependent unitons." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2080 (2007): 945–59. http://dx.doi.org/10.1098/rspa.2006.1799.

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We consider a class of time-dependent finite energy multi-soliton solutions of the U ( N ) integrable chiral model in (2+1) dimensions. The corresponding extended solutions of the associated linear problem have a pole with arbitrary multiplicity in the complex plane of the spectral parameter. Restrictions of these extended solutions to any space-like plane in have trivial monodromy and give rise to maps from a three-sphere to U ( N ). We demonstrate that the total energy of each multi-soliton is quantized at the classical level and given by the third homotopy class of the extended solution. Th

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14

Gombor, Tamás. "New boundary monodromy matrices for classical sigma models." Nuclear Physics B 953 (April 2020): 114949. http://dx.doi.org/10.1016/j.nuclphysb.2020.114949.

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15

Abishev, Medeu, Aigerim Abylayeva, Andrea Addazi, Yermek Aldabergenov, and Daulet Berkimbayev. "More on gravitational waves from double monodromy inflation." Physics Letters B 835 (December 2022): 137574. http://dx.doi.org/10.1016/j.physletb.2022.137574.

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16

Kaloper, Nemanja. "Axion flux monodromy discharges relax the cosmological constant." Journal of Cosmology and Astroparticle Physics 2023, no. 11 (2023): 032. http://dx.doi.org/10.1088/1475-7516/2023/11/032.

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Abstract Linear axion monodromy models modulated with higher powers of fields naturally realize the quantum-mechanical flux discharge mechanism for relaxing the cosmological constant toward zero. Working with multiple copies of superposed linear and quadratic flux monodromies, each copy spanned by a pair of fluxes, we show that when the axion is very massive and so effectively decoupled, the membrane discharges relax the cosmological constant toward an attractor 0 < Λ/M 4 Pl ≪ 1. If we restrict the flux variations and the intermediate flux values to never venture beyond a finite flux range,

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17

BRODA, B. "A THREE-DIMENSIONAL COVARIANT APPROACH TO MONODROMY (SKEIN RELATIONS) IN CHERN-SIMONS THEORY." Modern Physics Letters A 05, no. 32 (1990): 2747–51. http://dx.doi.org/10.1142/s0217732390003206.

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A genuinely three-dimensional covariant approach to the monodromy operator (skein relations) in the context of Chern-Simons theory is proposed. A holomorphic path-integral representation for the holonomy operator (Wilson loop) and for the non-abelian Stokes theorem is used.

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18

BELAVIN, A., and M. JIMBO. "CENTRAL ELEMENTS OF THE ELLIPTIC YANG–BAXTER ALGEBRA IN ROOTS OF UNITY." International Journal of Modern Physics A 19, supp02 (2004): 50–56. http://dx.doi.org/10.1142/s0217751x04020300.

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19

CHOWDHURY, A. ROY, and SWAPNA ROY. "ON THE GLOBAL SOLUTION TO THE DIFFERENTIAL EQUATION FOR THE N-POINT CONFORMAL CORRELATOR." Modern Physics Letters A 04, no. 25 (1989): 2483–86. http://dx.doi.org/10.1142/s021773238900277x.

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We have obtained compact expressions for the global solutions of the second order differential equations for the n-point conformal correlation functions. These equations were initially deduced by Belavin, Polyakov and Zamolodchikov. The monodromy property of such solutions can be ascertained from these expressions very easily.

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20

Gasparotto, Silvia, and Ippei Obata. "Cosmic birefringence from monodromic axion dark energy." Journal of Cosmology and Astroparticle Physics 2022, no. 08 (2022): 025. http://dx.doi.org/10.1088/1475-7516/2022/08/025.

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Abstract The recently reported non-zero isotropic birefringence angle in Planck 2018 polarization data provides a tantalizing hint for new physics of axions. In this paper, we explain this by a string theory motivated axion with a monodromy potential that plays the role of dark energy. Upon using the birefringence measurement and the constraint on the equation of state for dark energy in this scenario, we find an upper bound on the axion decay constant as fa ≲ 1016 GeV. This naturally gives an energy scale of order GUT and can resolve the theoretical issue of super-Planckian field range of the

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21

Bonsante, Francesco, Gabriele Mondello, and Jean-Marc Schlenker. "Minimizing immersions of a hyperbolic surface in a hyperbolic 3-manifold." American Journal of Mathematics 145, no. 4 (2023): 995–1049. http://dx.doi.org/10.1353/ajm.2023.a902953.

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abstract: Let $(S,h)$ be a closed hyperbolic surface and $M$ be a quasi-Fuchsian $3$-manifold. We consider incompressible maps from $S$ to $M$ that are critical points of an energy functional $F$ which is homogeneous of degree $1$. These ``minimizing'' maps are solutions of a non-linear elliptic equation, and reminiscent of harmonic maps---but when the target is Fuchsian, minimizing maps are minimal Lagrangian diffeomorphisms to the totally geodesic surface in $M$. We prove the uniqueness of smooth minimizing maps from $(S,h)$ to $M$ in a given homotopy class. When $(S,h)$ is fixed, smooth min

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22

BIMONTE, G., P. SALOMONSON, A. SIMONI, and A. STERN. "POISSON BRACKET ALGEBRA FOR CHIRAL GROUP ELEMENTS IN THE WZNW MODEL." International Journal of Modern Physics A 07, no. 24 (1992): 6159–74. http://dx.doi.org/10.1142/s0217751x92002799.

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We examine the Wess-Zumino-Novikov-Witten (WZNW) model on a circle and compute the Poisson bracket algebra for left- and right-moving chiral group elements. Our computations apply for arbitrary groups and arbitrary boundary conditions, the latter being characterized by the monodromy matrix. Unlike in previous treatments, the Poisson brackets do not require specifying a particular parametrization of the group valued fields in terms of angles spanning the group. We do however find it necessary to make a gauge choice, as the chiral group elements are not gauge invariant observables. (On the other

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23

PONSOT, B. "MONODROMY OF SOLUTIONS OF THE KNIZHNIK-ZAMOLODCHIKOV EQUATION: SL(2)k WZNW MODEL." International Journal of Modern Physics A 19, supp02 (2004): 336–47. http://dx.doi.org/10.1142/s0217751x04020506.

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Three explicit and equivalent representations for the monodromy of the conformal blocks in the non compact SL(2)k WZNW model are proposed in terms of the same quantity computed in Liouville field theory.

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24

KACHKACHI, H., and M. KACHKACHI. "SUPERCONFORMAL STRUCTURES AND HOLOMORPHIC 1/2-SUPERDIFFERENTIALS ON N=1 SUPER RIEMANN SURFACES." Modern Physics Letters A 08, no. 38 (1993): 3643–58. http://dx.doi.org/10.1142/s0217732393002385.

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Using the super Riemann-Roch theorem we give a local expression for a holomorphic ½-superdifferential in a superconformal structure parametrized by special isothermal coordinates on an N=1 super Riemann surface. The holomorphy of these coordinates with respect to super Beltrami differentials is proved. The monodromy of these differentials is discussed.

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25

Pronko, G. P. "On the Ultralocal and Non-Ultralocal Poisson Brackets." Modern Physics Letters A 12, no. 13 (1997): 905–11. http://dx.doi.org/10.1142/s0217732397000935.

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We consider the classical KdV theory as an example of non-ultralocal mechanical system (i.e. where fundamental Poisson brackets contain the derivative of δ-function). We show that by an appropriate gauge transformation, the Poisson brackets of the associated monodromy matrices may be transformed into those of the classical Heisenberg magnetic.

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26

LAWRENCE, R. J. "A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA." International Journal of Modern Physics A 05, no. 16 (1990): 3213–19. http://dx.doi.org/10.1142/s0217751x90002178.

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In this paper a topological construction of representations of the [Formula: see text]-series of Hecke algebras, associated with 2-row Young diagrams, will be announced. This construction gives the representations in terms of the monodromy representation obtained from a vector bundle over the configuration space of η points in the complex plane. The fibres are homology spaces of configuration spaces of points in a punctured complex plane, with a suitable twisted local coefficient system, and there is thus a natural flat connection on the vector bundle. It is also shown that there is a close co

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27

Cushman, R., and Vu Ngoc San. "Sign of the Monodromy for Liouville Integrable Systems." Annales Henri Poincaré 3, no. 5 (2002): 883–94. http://dx.doi.org/10.1007/s00023-002-8640-7.

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28

Arutyunov, Gleb, and Marija Zamaklar. "Linking Bäcklund and monodromy charges for strings on AdS5× S5." Journal of High Energy Physics 2005, no. 07 (2005): 026. http://dx.doi.org/10.1088/1126-6708/2005/07/026.

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29

BHATTACHARYA, GAUTAM, and SASANKA GHOSH. "ALGEBRAIC BETHE ANSATZ SCHEME FOR RELATIVISTIC INTEGRABLE FIELD THEORIES IN CONTINUUM-: SINE-GORDON MODEL." International Journal of Modern Physics A 04, no. 03 (1989): 627–47. http://dx.doi.org/10.1142/s0217751x89000303.

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The linear problem associated with the Lax operator of the classical sine-Gordon theory can be recast into the monodromy matrix form that can be extended to quantum theory as well. Product of the quantum monodromy matrices will have contributions from the singularities arising out of the operator product expansions of sine-Gordon field. This enables one to find the star-triangle relations. This is a generalization of the method used by Thacker for the non-relativistic nonlinear Schrödinger field theory. In the infinite volume limit, it leads to an unambiguous description of the algebra involvi

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30

KLUSOŇ, J. "BRST INVARIANCE OF NONLOCAL CHARGES AND MONODROMY MATRIX OF BOSONIC STRING ON AdS5×S5." International Journal of Modern Physics A 22, no. 12 (2007): 2239–63. http://dx.doi.org/10.1142/s0217751x07036348.

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Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS 5× S 5 formulated as principal chiral model. Then we show that the monodromy matrix and nonlocal charges are BRST invariant.

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31

Addazi, Andrea, Antonino Marcianò, and Roman Pasechnik. "Probing Trans-Electroweak First Order Phase Transitions from Gravitational Waves." Physics 1, no. 1 (2019): 92–102. http://dx.doi.org/10.3390/physics1010010.

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We propose direct tests of very high energy first-order phase transitions, which are elusive to collider physics, deploying the gravitational waves’ measurements. We show that first-order phase transitions lying in a large window of critical temperatures, which is considerably larger than the electroweak energy scale, can be tested from advanced LIGO (aLIGO) and the Einstein Telescope. This provides the possibility to probe several inflationary mechanisms ending with the inflaton in a false minimum and high-energy first order phase transitions that are due to new scalar bosons, beyond the Stan

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32

PONSOT, B. "RECENT PROGRESS IN LIOUVILLE FIELD THEORY (REVIEW)." International Journal of Modern Physics A 19, supp02 (2004): 311–35. http://dx.doi.org/10.1142/s0217751x0402049x.

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An explicit construction for the monodromy of the Liouville conformal blocks in terms of Racah-Wigner coefficients of the quantum group [Formula: see text] is proposed. As a consequence, crossing-symmetry for four point functions is analytically proven, and the expression for the correlator of three boundary operators is obtained.

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33

Harel, M., G. Agranovich, and M. Brand. "Optimal periodic gain scheduling for bipedal walking with hybrid dynamics." Robotica 34, no. 8 (2014): 1811–21. http://dx.doi.org/10.1017/s0263574714002586.

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SUMMARYWe present an optimal gain scheduling control design for bipedal walking with minimum tracking error. We obtained a linear approximation by linearizing the nonlinear hybrid dynamic model about a nominal periodic trajectory. This linearization allows us to identify the linear model as a linear periodic system. An optimal feedback was designed using Bellman's dynamic programming. The linear periodic system allows us to determine a linear quadratic regulator (LQR) for a single period and to set the Hamilton-Jacobi-Bellman (HJB) function in a linear quadratic form. In this way, the dynamic

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34

Muñoz, Juan-Guillermo, Guillermo Gallo, Gustavo Osorio, and Fabiola Angulo. "Performance Analysis of a Peak-Current Mode Control with Compensation Ramp for a Boost-Flyback Power Converter." Journal of Control Science and Engineering 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/7354791.

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High voltage gain power converters are very important in photovoltaic applications mainly due to the low output voltage of photovoltaic arrays. This kind of power converters includes three or more semiconductor devices and four or more energy storage elements, making the dynamical analysis of the controlled system more difficult. In this paper, the boost-flyback power converter is controlled by peak-current mode with compensation ramp. The closed-loop analysis is performed to guarantee operation conditions such that a period-1 orbit is attained. The converter is considered as a piecewise linea

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35

TARASOV, VITALY O. "CYCLIC MONODROMY MATRICES FOR THE R-MATRIX OF THE SIX-VERTEX MODEL AND THE CHIRAL POTTS MODEL WITH FIXED SPIN BOUNDARY CONDITIONS." International Journal of Modern Physics A 07, supp01b (1992): 963–75. http://dx.doi.org/10.1142/s0217751x92004129.

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Irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model are described. As a consequence, the direct computation of spectra for transfer-matrices of the chiral Potts model with special fixed-spin boundary conditions is done. The generalization of simple Baxter's Hamiltonian is proposed.

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36

Giorgadze, G. "Gates for quantum computing induced from monodromy operators." Physics of Particles and Nuclei Letters 4, no. 2 (2007): 173–75. http://dx.doi.org/10.1134/s1547477107020185.

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37

ITOH, TAKASHI, and YASUHIKO YAMADA. "EXPLICIT EXCHANGE RELATIONS IN THE SL(2) WESS-ZUMINO-NOVIKOV-WITTEN MODEL." International Journal of Modern Physics A 06, no. 18 (1991): 3283–91. http://dx.doi.org/10.1142/s0217751x91001593.

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We discuss, in the SL(2) Wess-Zumino-Novikov-Witten model, the quantum exchange relations for chiral vertex operators with arbitrary spin by using a free-field realization. We give a recursion formula for the monodromy matrices and the solution explicitly. They coincide with the q-6j symbol of the relevant quantum group Uq(sl(2)) .

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38

Yang, Wen-Li, Alexander Belavin, and Ryu Sasaki. "Central elements of the elliptic monodromy matrix algebra at roots of unity." Nuclear Physics B 710, no. 3 (2005): 614–28. http://dx.doi.org/10.1016/j.nuclphysb.2004.12.033.

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39

Martins, M. J., and M. Zuparic. "The monodromy matrix in the F-basis for arbitrary six-vertex models." Nuclear Physics B 851, no. 3 (2011): 565–619. http://dx.doi.org/10.1016/j.nuclphysb.2011.06.006.

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40

BRODA, BOGUSLAW. "QUANTUM THEORY OF NON-ABELIAN DIFFERENTIAL FORMS AND LINK POLYNOMIALS." Modern Physics Letters A 09, no. 07 (1994): 609–21. http://dx.doi.org/10.1142/s0217732394003841.

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A topological quantum field theory of non-Abelian differential forms is investigated from the point of view of its possible applications to description of polynomial invariants of higher-dimensional two-component links. A path-integral representation of the partition function of the theory, which is a highly on-shell reducible system, is obtained in the framework of the antibracket-antifield formalism of Batalin and Vilkovisky. The quasi-monodromy matrix, giving rise to corresponding skein relations, is formally derived in a manifestly covariant non-perturbative manner.

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41

Moghaddam, Hossein Bazrafshan, and Robert Brandenberger. "Preheating with fractional powers." Modern Physics Letters A 31, no. 39 (2016): 1650217. http://dx.doi.org/10.1142/s0217732316502175.

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We consider preheating in models in which the potential for the inflaton is given by a fractional power, as is the case in axion monodromy inflation. We assume a standard coupling between the inflaton field and a scalar matter field. We find that in spite of the fact that the oscillation of the inflaton about the field value which minimizes the potential is anharmonic, there is nevertheless a parametric resonance instability, and we determine the Floquet exponent which describes this instability as a function of the parameters of the inflaton potential.

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42

Forster, Richárd, and Ágnes Fülöp. "Chaotic behavior of the lattice Yang-Mills on CUDA." Acta Universitatis Sapientiae, Informatica 7, no. 2 (2015): 216–38. http://dx.doi.org/10.1515/ausi-2015-0020.

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Abstract The Yang-Mills fields plays important role in the strong interaction, which describes the quark gluon plasma. The non-Abelian gauge theory provides the theoretical background understanding of this topic. The real time evolution of the classical fields is derived by the Hamiltonian for SU(2) gauge field tensor. The microcanonical equations of motion is solved on 3 dimensional lattice and chaotic dynamics was searched by the monodromy matrix. The entropy-energy relation was presented by Kolmogorov-Sinai entropy. We used block Hessenberg reduction to compute the eigenvalues of the curren

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43

ABDURRAHMAN, A., F. ANTON, M. A. NAMAZIE, and C. NÚÑEZ. "N=1 SUPERCONFORMAL MINIMAL MODEL CORRELATION FUNCTIONS ON THE TORUS." International Journal of Modern Physics A 10, no. 28 (1995): 3985–4040. http://dx.doi.org/10.1142/s0217751x95001868.

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The Coulomb gas formalism is employed to construct contour integral representations of two-point correlation functions on the torus for the N=1 superconformal unitary discrete series, characterized by the single integer p. (For the particular case of the tricritical Ising model, these include the energy and vacancy density operators.) Modular and monodromy properties of the superconformal blocks are examined, and the generalization to superconformal theories of Verlinde’s results on modular transformations and the fusion algebra are discussed in some detail. For p odd the relevant modular matr

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44

ALDROVANDI, E., L. BONORA, V. BONSERVIZI, and R. PAUNOV. "FREE FIELD REPRESENTATION OF TODA FIELD THEORIES." International Journal of Modern Physics A 09, no. 01 (1994): 57–86. http://dx.doi.org/10.1142/s0217751x94000042.

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We study the following problem: Can a classical sl n Toda field theory be represented by means of free bosonic oscillators through a Drinfeld-Sokolov construction? We answer affirmatively in the case of a cylindrical space-time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one-to-one correspondence between such solutions and the space of free left and right bosonic oscillators with coincident zero modes. We discuss the same problem for real singular solutions with nonhyperbolic monodromy.

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45

McAllister, Liam, Pedro Schwaller, Geraldine Servant, John Stout, and Alexander Westphal. "Runaway relaxion monodromy." Journal of High Energy Physics 2018, no. 2 (2018). http://dx.doi.org/10.1007/jhep02(2018)124.

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46

Schimannek, Thorsten. "Modularity from monodromy." Journal of High Energy Physics 2019, no. 5 (2019). http://dx.doi.org/10.1007/jhep05(2019)024.

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47

Buratti, Ginevra, José Calderón, and Angel M. Uranga. "Transplanckian axion monodromy!?" Journal of High Energy Physics 2019, no. 5 (2019). http://dx.doi.org/10.1007/jhep05(2019)176.

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48

Gimenez-Grau, Aleix, and Pedro Liendo. "Bootstrapping monodromy defects in the Wess-Zumino model." Journal of High Energy Physics 2022, no. 5 (2022). http://dx.doi.org/10.1007/jhep05(2022)185.

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Abstract We use analytical bootstrap techniques to study supersymmetric monodromy defects in the critical Wess-Zumino model. In preparation for this result we first study two related systems which are interesting on their own: general monodromy defects (no susy), and the ε-expansion bootstrap for the Wess-Zumino model (no defects). For general monodromy defects, we extend previous work on codimension-two conformal blocks and the Lorentzian inversion formula in order to accommodate parity-odd structures. In the Wess-Zumino model, we bootstrap four-point functions of chiral operators in the ε-ex

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Brown, Jon, William Cottrell, Gary Shiu, and Pablo Soler. "Tunneling in axion monodromy." Journal of High Energy Physics 2016, no. 10 (2016). http://dx.doi.org/10.1007/jhep10(2016)025.

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50

Enoki, Yuichi, and Taizan Watari. "Direct computation of monodromy matrices and classification of 4d $$ \mathcal{N} $$ = 2 heterotic-IIA dual vacua." Journal of High Energy Physics 2022, no. 3 (2022). http://dx.doi.org/10.1007/jhep03(2022)059.

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Abstract We compute the monodromy matrices on the special geometry of 4d $$ \mathcal{N} $$ N = 2 Heterotic-IIA dual vacua in some simple cases by numerical evaluation of the period integrals, without assuming a geometric background. The integrality of the monodromy matrices constrains some classification invariants of the string vacua. We also mention some mathematical open problems on period polynomials for modular forms with poles.

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