The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux

Abstract

We determine the off-shell symmetry algebra and representations of Type IIB superstring theory on $Ad{S}_3\times S^3\times T^4$ with mixed R-R and NS-NS three-form flux. We use these to derive the non-perturbative worldsheet S matrix of fundamental excitations of the superstring theory. Our analysis includes both massive and massless modes and shows how turning on mixed three-form flux results in an integrable deformation of the S matrix of the pure R-R theory.

48 pages, 2 figures

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Cited by in corpus (41)

• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• 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
• Yang-Baxter and the Boost: splitting the difference
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• New Dressing Factors for AdS3/CFT2
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Macroscopic (and Microscopic) Massless Modes
• 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
• Generalized $\lambda$-deformations of AdS_p x S^p
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless S matrices for AdS3/CFT2
• Integrable bootstrap for AdS3/CFT2 correlation functions
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• 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
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• A study of integrable form factors in massless relativistic AdS_3
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Mellin amplitudes for $Ad{S}_3\times S^3$
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Norms and scalar products for AdS_3
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
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• Deforming integrable models of AdS${}_3$ strings
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix
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• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes