Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux

Abstract

The type IIB supergravity AdS_3 x S^3 x T^4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to be integrable, opening the possibility of computing its exact spectrum for any values of the coefficient q of the NSNS flux and the string tension. In arXiv:1303.1447 we have found the tree-level S-matrix for the massive BMN excitations in this theory, which turned out to have a simple dependence on q. Here, by analyzing the constraints of symmetry and integrability, we propose an exact massive-sector dispersion relation and the exact S-matrix for this world-sheet theory. The S-matrix generalizes its recent construction in the q=0 case in arXiv:1303.5995.

29 pages; v2: 30 pages, minor comments and references added; v3: minor corrections and comments added

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Cited by in corpus (63)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Superstrings on AdS3 at k=1
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Dressing phases of AdS3/CFT2
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• $Ad{S}_3\times S^3\times M^4$ 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
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Superisometries and integrability of superstrings
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
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• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• 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
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Yangian of AdS3/CFT2 and its deformation
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Spiky strings on AdS3 x S3 with NS-NS flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Generalized $\lambda$-deformations of AdS_p x S^p
• Integrable open spin-chains in AdS3/CFT2 correspondences
• The S-matrix algebra of the AdS2 X S2 superstring
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Pulsating strings with mixed three-form flux
• Classifying integrable symmetric space strings via factorized scattering
• An improved AFS phase for AdS3 string integrability
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Scalar fields on λ-deformed cosets
• Analytical Structure of the Generalized $\lambda -$deformation
• Integrability of D1-brane on Group Manifold with Mixed Three Form Flux
• Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes
• Bubbling geometries for AdS_2 x S^2
• Integrability and the Conformal Field Theory of the Higgs branch
• D1 string dynamics in curved backgrounds with fluxes
• 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
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• Minimal surfaces with mixed three-form flux
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• N spike D-strings in AdS Space with mixed flux
• Neumann-Rosochatius system for strings on I-brane
• Semiclassical quantization of 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
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix