Higher genus correlators for tensionless ${\mathrm{AdS}}_3$ strings

Abstract

It was recently shown in arXiv:2009.11306 that tree-level correlation functions in tensionless string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ match the expected form of correlation functions in the symmetric orbifold CFT on ${\mathbb{T}}^4$ in the large $N$ limit. This analysis utilized the free-field realization of the $\mathfrak{psu}(1,1|2{)}_1$ Wess-Zumino-Witten model, along with a surprising identity directly relating these correlation functions to a branched covering of the boundary of ${\mathrm{AdS}}_3$. In particular, this identity implied the unusual feature that the string theory correlators localize to points in the moduli space for which the worldsheet covers the boundary of ${\mathrm{AdS}}_3$ with specified branching near the insertion points. In this work we generalize this analysis past the tree-level approximation, demonstrating its validity to higher genus worldsheets, and in turn providing strong evidence for this incarnation of the $\mathrm{AdS}/\mathrm{CFT}$ correspondence at all orders in perturbation theory.

arXiv commentJHEP version

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Cited by in corpus (23)

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