Integrable spin chain for stringy Wess-Zumino-Witten models

Abstract

Building on arXiv:1804.01998 we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on $Ad{S}_3\times S^3\times T^4$. Using the recently-proposed integrable S matrix we show analytically that all wrapping corrections cancel and that the theory has a natural spin-chain interpretation. We construct the integrable spin chain and discuss its relation with the WZW description. Finally we compute the spin-chain spectrum in closed form and show that it matches the WZW prediction on the nose.

46 pages, 3 figures, 9 tables; misprints corrected, references added

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Cited by in corpus (43)

• The Worldsheet Dual of the Symmetric Product CFT
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• $T\bar{T}$ deformed partition functions
• On $T\bar{T}$ deformations and supersymmetry
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• $T\bar{T}$ deformations and integrable spin chains
• Flow equations for generalised $T\bar{T}$ deformations
• $T\bar{T}$ deformations as TsT transformations
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• New Dressing Factors for AdS3/CFT2
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• $T\bar{T}$ type deformation in the presence of a boundary
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless S matrices for AdS3/CFT2
• Positivity of hexagon perturbation theory
• Integrable bootstrap for AdS3/CFT2 correlation functions
• $T\overline{T}$ Deformations of nonrelativistic models
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• Superstrings in Thermal Anti-de Sitter Space
• Boost generator in AdS_3 integrable superstrings for general braiding
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• A study of integrable form factors in massless relativistic AdS_3
• On N-spike strings in conformal gauge with NS-NS fluxes
• Minimal surfaces with mixed three-form flux
• On multi-spin classical strings with NS-NS flux
• Geometry of Massless Scattering in Integrable Superstring
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• A solvable non-unitary fermionic long-range model with extended symmetry
• The $SU(2)$ Wess-Zumino-Witten spin chain sigma model
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Transfer matrices for AdS3/CFT2
• Winding modes and the reflection symmetry in AdS${}_3$
• On Current-Squared Flows and ModMax Theories