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Related papers: String hypothesis for the AdS_5 x S^5 mirror

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We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS_5 x S^5 mirror model. We further demonstrate how these equations can be used to construct the associated Y-system recently…

High Energy Physics - Theory · Physics 2009-05-29 Gleb Arutyunov , Sergey Frolov

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and…

High Energy Physics - Theory · Physics 2022-04-13 Sergey Frolov , Alessandro Sfondrini

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by…

High Energy Physics - Theory · Physics 2009-06-10 Gleb Arutyunov , Sergey Frolov

Doing a double Wick rotation in the worldsheet theory of the light cone $\mathrm{AdS}_5 \times \mathrm{S}^5$ superstring results in an inequivalent, so-called mirror theory that plays a central role in the field of integrability in AdS/CFT.…

High Energy Physics - Theory · Physics 2015-01-13 Gleb Arutyunov , Stijn J. van Tongeren

We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a q-deformation of the AdS_5 x S^5…

High Energy Physics - Theory · Physics 2015-06-19 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS_5 x S^5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference…

High Energy Physics - Theory · Physics 2014-11-20 Sergey Frolov , Ryo Suzuki

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

This article reviews the application of integrability to the spectral problem of strings on AdS_5 x S^5 and its deformations. We begin with a pedagogical introduction to integrable field theories culminating in the description of their…

High Energy Physics - Theory · Physics 2015-01-13 Stijn J. van Tongeren

We conjecture the set of asymptotic Bethe Ansatz equations for the {\it mirror} model of the $\text{AdS}_4\times\mathbb{CP}^3$ string theory, corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge theory in three…

High Energy Physics - Theory · Physics 2010-05-12 Diego Bombardelli , Davide Fioravanti , Roberto Tateo

A class of marginal deformations of four-dimensional N=4 super Yang-Mills theory has been found to correspond to a set of smooth, multiparameter deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5. We present here…

High Energy Physics - Theory · Physics 2009-11-11 Tristan McLoughlin , Ian Swanson

We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show…

High Energy Physics - Theory · Physics 2012-10-18 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor on the rapidity…

High Energy Physics - Theory · Physics 2015-05-13 Gleb Arutyunov , Sergey Frolov

In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of…

High Energy Physics - Theory · Physics 2015-06-26 Jan Plefka

We work out the algebraic Bethe ansatz for the worldsheet theory of the $AdS_3\times S^3\times T^4$ superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model. We also…

High Energy Physics - Theory · Physics 2022-07-25 Fiona K. Seibold , Alessandro Sfondrini

In arXiv:2306.17553 a new supersymmetric integrable QFT was constructed from the relativistic limit of the worlsdheet theory of AdS$_3 \times$ S$^3\times $T$^4$ superstrings with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The…

High Energy Physics - Theory · Physics 2025-07-21 Xavier Kervyn , Davide Polvara , Alessandro Sfondrini

Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and Frolov, we derive the thermodynamic Bethe Ansatz equations which should control the spectrum of the planar $\text{AdS}_5/\text{CFT}_4$ correspondence. The…

High Energy Physics - Theory · Physics 2009-09-28 Diego Bombardelli , Davide Fioravanti , Roberto Tateo

In this article we review the world-sheet scattering theory of strings on AdS 5 x S5. The asymptotic spectrum of this world-sheet theory contains both fundamental particles and bound states of the latter. We explicitly derive the S-matrix…

High Energy Physics - Theory · Physics 2010-07-29 Marius de Leeuw

Integrability occupies an increasingly important role in direct tests of the AdS/CFT correspondence. Integrable structures have appeared in both planar N=4 super Yang-Mills theory and type IIB superstring theory on AdS_5 x S^5. A…

High Energy Physics - Theory · Physics 2007-05-23 Ian Swanson

We match the Hagedorn/deconfinement temperature of planar N=4 super Yang-Mills (SYM) on R x S^3 to the Hagedorn temperature of string theory on AdS_5 x S^5. The match is done in a near-critical region where both gauge theory and string…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Marta Orselli

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida
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