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.

6 pages. v2: references added, fixed typos

References in corpus (5)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• S-matrix for magnons in the D1-D5 system

Cited by in corpus (28)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Double Wick rotating Green-Schwarz strings
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• New Dressing Factors for AdS3/CFT2
• Macroscopic (and Microscopic) Massless Modes
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• 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
• Generalized $\lambda$-deformations of AdS_p x S^p
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Integrability and the Conformal Field Theory of the Higgs branch
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Norms and scalar products for AdS_3
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix