Integrable bootstrap for AdS3/CFT2 correlation functions

TL;DR

This paper develops an integrable bootstrap method for calculating correlation functions in AdS3/CFT2 superstring backgrounds, extending previous approaches to less supersymmetric setups and providing tools for future non-perturbative studies.

Contribution

It introduces a generalized hexagon bootstrap framework for AdS3/CFT2, including form factors and consistency conditions, applicable to arbitrary flux configurations and many-particle states.

Findings

Constructed the two-particle hexagon form factor with dressing factors.

Demonstrated the form factor satisfies key consistency conditions.

Compared bootstrap predictions with known correlators of protected operators.

Abstract

We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in $AdS_3\times S^3\times T^4$ 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 $AdS_5\times S^5$ 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 $AdS_5\times S^5$, 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.