New supersymmetricAdS3solutions

Abstract

We construct infinite new classes of supersymmetric solutions of $D=11$ supergravity that are warped products of ${\mathrm{AdS}}_{3}$ with an eight-dimensional manifold ${\mathcal{M}}_{8}$ and have nonvanishing four-form flux. In order to be compact, ${\mathcal{M}}_{8}$ is constructed as an ${S}^{2}$ bundle over a six-dimensional manifold ${B}_{6}$ which is either K\"ahler-Einstein or a product of K\"ahler-Einstein spaces. In the special cases that ${B}_{6}$ contains a two-torus, we also obtain new ${\mathrm{AdS}}_{3}$ solutions of type IIB supergravity, with constant dilaton and only five-form flux. Via the anti-de Sitter (AdS)-conformal field theory (CFT) correspondence the solutions with compact ${\mathcal{M}}_{8}$ will be dual to two-dimensional conformal field theories with $N=(0,2)$ supersymmetry. Our construction can also describe noncompact geometries and we discuss examples in type IIB which are dual to four-dimensional $N=1$ superconformal theories coupled to stringlike defects.