AdS3/CFT2 at higher genus

We continue our study of the worldsheet theory of superstrings on AdS3× S3× 𝕋4 in the tensionless limit [1]. We consider the theory on higher genus surfaces. We give evidence that the worldsheet correlators localise on certain worldsheets that cover the boundary of AdS3 holomorphically. This simplifies the string moduli space integral dramatically to a finite sum. This property shows that the higher genus corrections of the string worldsheet reproduce the structure of the 1/N corrections in the dual symmetric orbifold CFT SymN (𝕋4).