On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4

Abstract

Integrability is believed to underlie the AdS3/CFT2 correspondence with sixteen supercharges. We elucidate the role of massless modes within this integrable framework. Firstly, we find the dressing factors that enter the massless and mixed-mass worldsheet S matrix. Secondly, we derive a set of all-loop Bethe Equations for the closed strings, determine their symmetries and weak-coupling limit. Thirdly, we investigate the underlying Yangian symmetry in the massless sector and show that it fits into the general framework of Yangian integrability. In addition, we compare our S matrix in the near-relativistic limit with recent perturbative worldsheet calculations of Sundin and Wulff.

69 pages, 12 figures

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• New Dressing Factors for AdS3/CFT2
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless S matrices for AdS3/CFT2
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Protected states in $\mbox{AdS}_3$ backgrounds from 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
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• A study of integrable form factors in massless relativistic $Ad{S}_2$