All-loop worldsheet S matrix for AdS_3 x S^3 x T^4

Abstract

We obtain the all-loop worldsheet S matrix for fundamental excitations on AdS_3 x S^3 x T^4 by studying the off-shell symmetry algebra of the superspace action in lightcone gauge. The massless modes, unaccounted for in earlier works, are automatically included in our treatment. Their exact dispersion relation is found to be non-relativistic, of giant-magnon form and their scattering is naturally well-defined. This opens the way to a complete investigation of AdS_3/CFT_2 integrability.

arXiv comment6 pages. v2: references added, fixed typos

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Cited by in corpus (62)

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• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
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• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Double Wick rotating Green-Schwarz strings
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• 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
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Yang-Baxter and the Boost: splitting the difference
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• New Dressing Factors for AdS3/CFT2
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Macroscopic (and Microscopic) Massless Modes
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Lectures on S-matrices and Integrability
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Generalized $\lambda$-deformations of AdS_p x S^p
• The S-matrix algebra of the AdS2 X S2 superstring
• Massless S matrices for AdS3/CFT2
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Pulsating strings with mixed three-form flux
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Integrable strings for AdS/CFT
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• Integrable deformations of AdS/CFT
• Analytical Structure of the Generalized $\lambda -$deformation
• Scalar fields on λ-deformed cosets
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• Integrability and the Conformal Field Theory of the Higgs branch
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix