Abstract
We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 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 AdS5 × S5 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 AdS5 × S5, 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.
Highlights
Our understanding of theoretical physics has always been shaped by experimental observations on the one side, and by the construction of a theoretical framework which may allow us to compute, compare and study relevant observables on the other side
We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes
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
Summary
Our understanding of theoretical physics has always been shaped by experimental observations on the one side, and by the construction of a theoretical framework which may allow us to compute, compare and study relevant observables on the other side. The special case k = 1 requires slightly different worldsheetCFT techniques [29], but it is very interesting because it seems to be the only point of the whole moduli space where one has a firm handle on the CFT dual [30,31,32,33,34], which should be the symmetric-product orbifold CFT of four free Bosons and as many Fermions, SymN (T4) Both the pure-RR and pure-NSNS background, as well as anything in between, are classically integrable [35, 36]. We find it useful to review its main features below and collect some formulae in the appendices
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