Higher genus correlators for tensionless AdS3 strings

A bstract It was recently shown in [1] that tree-level correlation functions in tensionless string theory on AdS 3 × S 3 × T⁴ T 4 match the expected form of correlation functions in the symmetric orbifold CFT on T⁴ T 4 in the large N limit. This analysis utilized the free-field realization of the psu(1,.1|2)₁ 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 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 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 AdS / CFT correspondence at all orders in perturbation theory.