Results 1  10
of
50
Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
, 2009
"... Moving from the mirror theory BetheYang equations proposed by Arutynov and Frolov, we derive the Thermodynamic Bethe Ansatz equations which should control the spectrum of the planar AdS5/CFT4 correspondence. The associated set of universal functional relations (Ysystem) satisfied by the exponentia ..."
Abstract

Cited by 127 (5 self)
 Add to MetaCart
Moving from the mirror theory BetheYang equations proposed by Arutynov and Frolov, we derive the Thermodynamic Bethe Ansatz equations which should control the spectrum of the planar AdS5/CFT4 correspondence. The associated set of universal functional relations (Ysystem) satisfied by the exponentials of the TBA pseudoenergies is deduced, confirming the structure inferred by Gromov, Kazakov and Vieira.
Semiclassical quantization of the giant magnon
 JHEP 06 (2007) 032, [arXiv:0704.2389 [hepth
"... Abstract: Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet Smatrix of string theory in AdS5 ×S 5 in the limit of infinite worldsheet volume we consider the semiclassical quantiz ..."
Abstract

Cited by 9 (0 self)
 Add to MetaCart
(Show Context)
Abstract: Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet Smatrix of string theory in AdS5 ×S 5 in the limit of infinite worldsheet volume we consider the semiclassical quantization of a particular soliton of this theory: the HofmanMaldacena ‘giant magnon ’ spinning string. We obtain explicit formulas for the complete spectrum of bosonic and fermionic fluctuations around the giant magnon. As an application of these results we confirm that the oneloop correction to the classical energy vanishes as expected. Contents
Giant magnons on CP 3 by dressing method
"... We consider classical string spectrum of Rt × CP 3, and construct a family of solutions with residual SU(2) symmetry by the dressing method on SU(4)/U(3) sigma model. All of them obey the squareroot type dispersion relation often found in the theory with su(22) symmetry. A single dyonic giant magn ..."
Abstract

Cited by 9 (0 self)
 Add to MetaCart
(Show Context)
We consider classical string spectrum of Rt × CP 3, and construct a family of solutions with residual SU(2) symmetry by the dressing method on SU(4)/U(3) sigma model. All of them obey the squareroot type dispersion relation often found in the theory with su(22) symmetry. A single dyonic giant magnon is not found in this approach.
On String Smatrix, Bound States and TBA
, 2007
"... The study of finite J effects for the lightcone AdS5 × S5 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 the double Wick rotation. The Smatrices describing t ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
The study of finite J effects for the lightcone AdS5 × S5 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 the double Wick rotation. The Smatrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation. We show that the unitarity requirement for the mirror Smatrix fixes the Smatrices of both theories essentially uniquely. The resulting string Smatrix S(z1, z2) satisfies the generalized unitarity condition and, up to a scalar factor, is a meromorphic function on the elliptic curve associated to each variable z. The double Wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus. We discuss the apparent bound states of the string and mirror models, and show that depending on a choice of the physical region there are one, two or 2M−1 solutions of the Mparticle bound state equations sharing the same conserved charges. For very large but finite values of J, most of these solutions, however, exhibit various signs of pathological behavior. In particular, they
The Asymptotic Spectrum of the N = 4 Super YangMills Spin Chain
, 2006
"... In this paper we discuss the asymptotic spectrum of the spin chain description of planar N = 4 SUSY YangMills. The states appearing in the spectrum belong to irreducible representations of the unbroken supersymmetry SU(22)×SU(22) with nontrivial extra central extensions. The elementary magnon co ..."
Abstract

Cited by 6 (1 self)
 Add to MetaCart
(Show Context)
In this paper we discuss the asymptotic spectrum of the spin chain description of planar N = 4 SUSY YangMills. The states appearing in the spectrum belong to irreducible representations of the unbroken supersymmetry SU(22)×SU(22) with nontrivial extra central extensions. The elementary magnon corresponds to the bifundamental representation while boundstates of Q magnons form a certain short representation of dimension 16Q2. Generalising the Beisert’s analysis of the Q = 1 case, we derive the exact dispersion relation for these states by purely group theoretic means. The emergence of integrability on both sides of the AdS/CFT correspondence [1, 2, 3] continues to provide improvements in our understanding of largeN gauge theory and string theory. Recent progress has centered on a particular limit [4] where the spin chain describing the single trace operators of N = 4 SUSY YangMills theory becomes infinitely long. 1 Specifically one considers a limit where the U(1) Rcharge J1 and scaling dimension ∆ of the operator become large with the difference E = ∆ − J1 and the ’t Hooft coupling λ held fixed. In this limit, the spectrum corresponds to localised excitations which propagate almost freely on the infinite chain. The remaining interactions between these excitations are governed by a factorisable Smatrix. In this paper we will describe the minimal possibility for the complete spectrum of asymptotic states of the spin
Exact solutions for Nmagnon scattering
 JHEP
, 2008
"... Abstract: Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R × S 3. The solution can be written in Hirota form and in terms of det ..."
Abstract

Cited by 4 (3 self)
 Add to MetaCart
(Show Context)
Abstract: Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R × S 3. The solution can be written in Hirota form and in terms of determinants of N ×N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics.
Thermodynamic Bethe Ansatz for the AdS5 × S5 Mirror Model
, 2009
"... We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS5 × S 5 mirror model. We further demonstrate how these equations can be used to construct the associated Ysystem recently discussed in the literature, putting particular emphasis on the ..."
Abstract
 Add to MetaCart
We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS5 × S 5 mirror model. We further demonstrate how these equations can be used to construct the associated Ysystem recently discussed in the literature, putting particular emphasis on the assumptions and the range of validity of the corresponding construction.
arXiv:1104.2474v2 [hepth] 6 Jul 2011
"... Abstract. This review is meant to be an account of the properties of the infinitedimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a concise anthology of basic facts concerning Yangians ..."
Abstract
 Add to MetaCart
Abstract. This review is meant to be an account of the properties of the infinitedimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a concise anthology of basic facts concerning Yangians and integrable systems, and to store a series of remarks, observations and proofs the author has collected in a fiveyear span of research on the subject. We hope this exercise will be useful for future attempts to study Yangians in field and string theories, with or without supersymmetry 1 .
Secret Symmetries in AdS/CFT Proceedings to the Nordita program 'Exact Results in GaugeString Dualities'
"... Abstract We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the spectral problem, the boundary scattering problem, npoint amplitudes, the purespinor for ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the spectral problem, the boundary scattering problem, npoint amplitudes, the purespinor formulation and quantum affine deformations.