A supersymmetric reduction on the three-sphere

TL;DR

This paper demonstrates how a specific three-dimensional supergravity theory can be consistently embedded into six-dimensional supergravity via a reduction on AdS3×S3, revealing new connections between these models.

Contribution

It provides the first explicit consistent reduction of 3D SO(4) gauged supergravity with quaternionic target space into 6D supergravity on AdS3×S3.

Findings

Successful embedding of 3D supergravity into 6D supergravity.

Explicit reduction ansatz on AdS3×S3.

New insights into the structure of supergravity theories.

Abstract

We present the embedding of three-dimensional SO(4)$\ltimes\mathbb{R}^6$ gauged $N=4$ supergravity with quaternionic target space SO(4,4)$/$(SO(4)$\times$SO(4)) into $D=6$, $N=(1,0)$ supergravity coupled to a single chiral tensor multiplet through a consistent reduction on AdS$_3\times S^3$.