On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux

Abstract

We analyze the spectrum of perturbative closed strings on AdS3 x S3 x T4 with Ramond-Ramond flux using integrable methods. By solving the crossing equations we determine the massless and mixed-mass dressing factors of the worldsheet S matrix and derive the Bethe equations. Using these, we construct the underlying integrable spin chain and show that it reproduces the reducible spin chain conjectured at weak coupling in arXiv:1211.1952. We find that the string-theory massless modes are described by gapless excitations of the spin chain. The resulting degeneracy of vacua matches precisely the protected supergravity spectrum found by de Boer.

6 pages, 4 figures

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Cited by in corpus (19)

• Integrable spin chain for stringy Wess-Zumino-Witten models
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• Massless S matrices for AdS3/CFT2
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• 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
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Transfer matrices for AdS3/CFT2