The complete AdS_3 x S^3 x T^4 worldsheet S-matrix

Abstract

We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.

76 pages. 2 figures. v2: added references and fixed some typos

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Cited by in corpus (30)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Towards integrability for AdS3/CFT2
• 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
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Classifying nearest-neighbour interactions and deformations of AdS
• 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
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• 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
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• 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
• 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
• Stringy Symmetries and the Higher Spin Square
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• Norms and scalar products for AdS_3
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix