${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus

Abstract

We continue our study of the worldsheet theory of superstrings on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ in the tensionless limit arXiv:1911.00378. We consider the theory on higher genus surfaces. We give evidence that the worldsheet correlators localise on certain worldsheets that cover the boundary of ${\mathrm{AdS}}_3$ 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 ${\mathrm{Sym}}^N({\mathbb{T}}^4)$.

44 pages

References in corpus (3)

• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Comments On String Theory
• Comments on worldsheet theories dual to free large N gauge theories