N $$ \mathcal{N} $$ = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces

Abstract

Abstract We construct N $$ \mathcal{N} $$ = (2, 2) supersymmetric AdS3 solutions of type IIB supergravity, dual to twisted compactifications of 4d N $$ \mathcal{N} $$ = 4 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 AdS5 × S5. 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.

Keywords

• AdS-CFT Correspondence
• Black Holes in String Theory