${\cal N}=(2,2)$ AdS$_3$ from D3-branes wrapped on Riemann surfaces
High Energy Physics - Theory
2022-03-14 v2
Abstract
We construct supersymmetric AdS solutions of type IIB supergravity, dual to twisted compactifications of 4d super-Yang--Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.
Cite
@article{arxiv.2107.13562,
title = {${\cal N}=(2,2)$ AdS$_3$ from D3-branes wrapped on Riemann surfaces},
author = {Christopher Couzens and Niall T. Macpherson and Achilleas Passias},
journal= {arXiv preprint arXiv:2107.13562},
year = {2022}
}
Comments
27 pages + appendices. v2: Typos corrected, references added, embedding of topological disk solution into ${\cal N}=(2,2)$ class and its unexpected nature emphasised