An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction

Abstract

We introduce a series of articles reviewing various aspects of integrable models relevant to the AdS/CFT correspondence. Topics covered in these reviews are: classical integrability, Yangian symmetry, factorized scattering, the Bethe ansatz, the thermodynamic Bethe ansatz, and integrable structures in (conformal) quantum field theory. In the present article we highlight how these concepts have found application in AdS/CFT, and provide a brief overview of the material contained in this series.

v2, published version

References in corpus (11)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Towards integrability for AdS3/CFT2
• Lectures on Yangian Symmetry
• Lectures on the Bethe Ansatz
• Introduction to the thermodynamic Bethe ansatz
• Yangians, S-matrices and AdS/CFT
• Lectures on Integrable Structures in Quantum Field Theory and Massive ODE/IM Correspondence
• Integrability and the AdS/CFT correspondence

Cited by in corpus (20)

• Abelian Yang-Baxter Deformations and TsT transformations
• Introduction to the thermodynamic Bethe ansatz
• The Chern-Simons Origin of Superstring Integrability
• Unimodular jordanian deformations of integrable superstrings
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Chaotic spin chains in AdS/CFT
• Constraining integrable AdS/CFT with factorized scattering
• Chaos Bound and its violation in Black p-brane
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• From Hagedorn to Lee-Yang: Partition functions of $\mathcal{N}=4$ SYM theory at finite $N$
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• Coset construction of AdS particle dynamics
• Deterministic Chaos vs Integrable Models
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Investigating (Non)-Integrability and Pulsating String in D3-Brane Background
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• On exactly solvable Yang-Baxter models and enhanced symmetries