Effective $Ad{S}_3/CF{T}_2$

Abstract

In arXiv:2109.00065, it was pointed out that superstring theory on $Ad{S}_3$ with $(NS,NS)$ $B$-field background and $R_{AdS}/l_s=\sqrt{k}<1$ is dual to a symmetric product CFT deformed by an operator in the ${\mathbb{Z}}_2$ twisted sector. We generalize the analysis of arXiv:2109.00065 to $k>1$, and show that the resulting picture matches that discussed in the bosonic case in arXiv:2110.07535. We argue that in the critical case, $k=1$ hep-th/0503121, the ${\mathbb{Z}}_2$ twisted deformation remains non-trivial. This resolves some confusions in the literature.

21 pages, section 6 added