Exact S-matrices for AdS_3/CFT_2

Abstract

We propose exact $S$-matrices for the AdS_3/CFT_2 duality between Type IIB strings on AdS_3 x S^3 x M_4 with M_4=S^3 x S^1 or T^4 and the corresponding two-dimensional conformal field theories. We fix the complete two-particle S-matrices for both those cases of AdS_3/CFT_2, on the basis of the symmetries su(1|1) and su(1|1) x su(1|1), respectively preserved by their vacua. A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by [1] and [2].

14 pages, 4 figures

References in corpus (6)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• S-matrix for magnons in the D1-D5 system
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• On the massless modes of the AdS3/CFT2 integrable systems

Cited by in corpus (28)

• 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
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• All-loop Bethe ansatz equations for AdS3/CFT2
• Dressing phases of AdS3/CFT2
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Worldsheet scattering in AdS(3)/CFT(2)
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• 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)
• Lectures on S-matrices and Integrability
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Pulsating strings with mixed three-form flux
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux