AdS Solutions Through Transgression

TL;DR

This paper constructs new explicit supersymmetric AdS_3 and AdS_2 solutions in type IIB and D=11 supergravity, utilizing transgression terms, and explores their dual SCFTs and quantum mechanics, including flux configurations and dualities.

Contribution

It introduces novel classes of supersymmetric AdS solutions using transgression terms, expanding the landscape of known supergravity backgrounds and their dual field theories.

Findings

Constructed explicit AdS_3 solutions with non-zero five-form flux.

Developed AdS_2 solutions with electric four-form flux.

Determined central charges of dual SCFTs for some solutions.

Abstract

We present new classes of explicit supersymmetric AdS_3 solutions of type IIB supergravity with non-vanishing five-form flux and AdS_2 solutions of D=11 supergravity with electric four-form flux. The former are dual to two-dimensional SCFTs with (0,2) supersymmetry and the latter to supersymmetric quantum mechanics with two supercharges. We also investigate more general classes of AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity which in addition have non-vanishing three-form flux and magnetic four-form flux, respectively. The construction of these more general solutions makes essential use of the Chern-Simons or "transgression" terms in the Bianchi identity or the equation of motion of the field strengths in the supergravity theories. We construct infinite new classes of explicit examples and for some of the type IIB solutions determine the central charge of the dual SCFTs. The type IIB solutions with non-vanishing three-form flux that we construct include a two-torus, and after two T-dualities and an S-duality, we obtain new AdS_3 solutions with only the NS fields being non-trivial.