Twisted Supergravity and Koszul Duality: A case study in AdS$_3$

Understand

In this note, we study a simplified variant of the familiar holographic duality between supergravity on AdS$_3\times S^3\times T^4$ and the SCFT (on the moduli space of) the symmetric orbifold theory $Sym^N(T^4)$ as $N \rightarrow \infty$.

• This variant arises conjecturally from a twist proposed by the first author and Si Li.
• We recover a number of results concerning protected subsectors of the original duality working directly in the twisted bulk theory.
• Moreover, we identify the symmetry algebra arising in the $N\rightarrow \infty$ limit of the twisted gravitational theory.