Bethe Ansatz in Stringy Sigma Models

Abstract

We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model (fermionic sigma-model with su(1|1) symmetry), and Faddeev-Reshetikhin model (string sigma-model on S(3)xR).

37 pages, 11 figures

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• Spinning strings and AdS/CFT duality
• Planar N=4 Gauge Theory and the Hubbard Model
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Strings as Multi-Particle States of Quantum Sigma-Models
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Cited by in corpus (53)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• String hypothesis for the AdS_5 x S^5 mirror
• On AdS_5 x S^5 String S-matrix
• Worldsheet Scattering in AdS_5 x S^5
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• A Universality Test of the Quantum String Bethe Ansatz
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• How Accurate is the Quantum String Bethe Ansatz?
• World-sheet scattering in AdS_5 x S^5 at two loops
• On reduced models for superstrings on AdS_n x S^n
• Two-dimensional S-matrices from unitarity cuts
• Classical Open String Integrability
• Classical r-matrix of the su(2|2) SYM spin-chain
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• A Yangian Double for the AdS/CFT Classical r-matrix
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Aspects of Non-Relativistic Quantum Field Theories
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Renormalization of Galilean Electrodynamics
• TTbar deformation and the light-cone gauge
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Quantum Inverse Scattering and the Lambda Deformed Principal Chiral Model
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Quantum integrability of the Alday-Arutyunov-Frolov model
• Toy models for wrapping effects
• Worldsheet S-matrix of beta-deformed SYM
• On quantum integrability of the Landau-Lifshitz model
• On the quantization of continuous non-ultralocal integrable systems
• Nesting and Dressing
• On S-Matrix factorization of the Landau-Lifshitz model
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• On the equivalence theorem for integrable systems
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• Integrable theories and generalized graded Maillet algebras
• The r-matrix of the Alday-Arutyunov-Frolov model
• Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Large and exact quantum degeneracy in a Skyrmion magnet
• Microscopic formulation of the S-matrix in AdS/CFT
• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• An integrable deformed Landau-Lifshitz model with particle production?
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5