Deforming ${\rm AdS}_3\times S^3\times T^4$ in Type IIB Supergravity

TL;DR

This paper constructs new supersymmetric warped AdS3 and S3 solutions in Type IIB supergravity, highlighting independent warpings, their origins from D-branes, and introducing novel solution classes with various warping types.

Contribution

It presents new supersymmetric solutions with independent warpings in Type IIB supergravity, including a previously unpublished class with lightlike, spacelike, and timelike warpings.

Findings

Solutions with independent warpings of AdS3 and S3 factors.

Derivation of geometries from D-brane configurations via TsT transformations.

Introduction of a new class of solutions with diverse warping types.

Abstract

We discuss some new results on the construction of supersymmetric solutions of Type IIB supergravity of the form ${\rm WAdS}_3\times{\rm WS}^3\times T^4$, ${\rm WAdS}_3$ and ${\rm WS}^3$ denoting \emph{warped} anti-de Sitter spacetime and sphere, respectively. The distinctive feature of these backgrounds is that, in spite of them being supersymmetric, the warpings of the two factors are described by independent parameters. We illustrate how some of these geometries, characterised by a lightlike warping of the anti-de Sitter factor, arise in the near-horizon limit of a regular, asymptotically locally flat configuration of D-branes and fluxes. Central to the construction of the latter solutions is the use of two independent TsT transformations. We also give a new class of supersymmetric solutions of the general form ${\rm WAdS}_3\times{\rm WS}^3\times T^4$, which has not been published yet. They feature warpings of the anti-de Sitter factor of the lightlike, spacelike and timelike types. We discuss their properties.