Integrable bootstrap for AdS3/CFT2 correlation functions

Abstract

We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in $Ad{S}_3\times S^3\times T^4$ backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the "hexagon tessellation" approach which was originally proposed for $Ad{S}_5\times S^5$ and for the first time it demonstrates its applicability to other (less supersymmetric) setups. We work out the hexagon form factor for two-particle states, including its dressing factors which follow from those of the spectral problem, and we show that it satisfies non-trivial consistency conditions. We propose a bootstrap principle, slightly different from that of $Ad{S}_5\times S^5$, which allows to extend the form factor to arbitrarily many particles. Finally, we compare its predictions with some correlation functions of protected operators. Possible applications of this construction include the study of wrapping corrections, of higher-point correlation functions, and of non-planar corrections.

arXiv comment58 pages, 6 figures, v3: minor changes

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Cited by in corpus (7)

• New Dressing Factors for AdS3/CFT2
• Massless S matrices for AdS3/CFT2
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Transfer matrices for AdS3/CFT2