Supersymmetric AdS_3 solutions of type IIB supergravity

TL;DR

This paper constructs an infinite family of supersymmetric AdS_3 solutions in type IIB supergravity, dual to 2D (2,0) SCFTs with rational central charges, based on positively curved Kahler-Einstein manifolds.

Contribution

It introduces a new class of explicit supersymmetric solutions in type IIB supergravity linked to Kahler-Einstein manifolds, expanding the landscape of AdS/CFT dual pairs.

Findings

Solutions are warped products of AdS_3 with a 7D manifold.

Central charges of dual CFTs are rational numbers.

Solutions preserve (2,0) supersymmetry.

Abstract

For every positively curved Kahler-Einstein manifold in four dimensions we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of AdS_3 with a compact seven-dimensional manifold and have non-vanishing five-form flux. Via the AdS/CFT correspondence, the solutions are dual to two-dimensional conformal field theories with (2,0) supersymmetry. The corresponding central charges are rational numbers.