The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix

Abstract

We investigate type IIB strings on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ with mixed Ramond-Ramond (R-R) and Neveu-Schwarz-Neveu-Schwarz (NS-NS) flux. By suitably gauge-fixing the closed string Green-Schwarz (GS) action of this theory, we derive the off-shell symmetry algebra and its representations. We use these to determine the non-perturbative worldsheet S-matrix of fundamental excitations in the theory. The analysis involves both massive and massless modes in complete generality. The S-matrix we find involves a number of phase factors, which in turn satisfy crossing equations that we also determine. We comment on the nature of the heaviest modes of the theory, but leave their identification either as composites or bound-states to a future investigation.

arXiv comment42 pages, Mathematica file included

References in corpus (63)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Quantum spectral curve for AdS_5/CFT_4
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Higher Spins & Strings
• String hypothesis for the AdS_5 x S^5 mirror
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The gravity duals of N=2 superconformal field theories
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Large N=4 Holography
• The Holographic Dual of AdS3 x S3 x S3 x S1
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• AdS_6 solutions of type II supergravity
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• Supersymmetry of Rotating Branes
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• The S-matrix of String Bound States
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Dressing phases of AdS3/CFT2
• Giant magnons in the D1-D5 system
• On Type IIA geometries dual to N = 2 SCFTs
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Worldsheet scattering in AdS(3)/CFT(2)
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• S-matrix for magnons in the D1-D5 system
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• 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
• Macroscopic (and Microscopic) Massless Modes
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• 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 type II superstring to order theta^4
• Higher spins in the symmetric orbifold of K3
• Integrable open spin-chains in AdS3/CFT2 correspondences
• An improved AFS phase for AdS3 string integrability
• Integrability and the Conformal Field Theory of the Higgs branch

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• Higher Spins and Yangian Symmetries
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Yang-Baxter and the Boost: splitting the difference
• Lectures on S-matrices and Integrability
• Twin-plane-partitions and $\mathcal{N}=2$ affine Yangian
• Yangian of AdS3/CFT2 and its deformation
• Integrable open spin-chains in AdS3/CFT2 correspondences
• The S-matrix algebra of the AdS2 X S2 superstring
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Integrable deformations of AdS/CFT
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• A study of integrable form factors in massless relativistic AdS_3
• Minimal surfaces with mixed three-form flux
• On N-spike strings in conformal gauge with NS-NS fluxes
• Norms and scalar products for AdS_3
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix