$$ \mathcal{N} $$ = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces
Christopher Couzens, Niall T. Macpherson, Achilleas Passias
Abstract
A bstract We construct $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (2 , 2) supersymmetric AdS 3 solutions of type IIB supergravity, dual to twisted compactifications of 4d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 AdS 5 × S 5 . 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.