Symmetry Breaking and Consistent Truncations from M5-branes Wrapping a Disc

TL;DR

This paper constructs new supersymmetric solutions involving M5-branes wrapped on a disc, demonstrating symmetry breaking via scalar fields and providing a consistent truncation to generate diverse solutions in dual SCFTs.

Contribution

It introduces a novel class of supersymmetric solutions with scalar-induced symmetry breaking and develops a consistent truncation to five-dimensional supergravity for broader solution generation.

Findings

Scalar fields break U(1) isometry via Stuckelberg mechanism.

New solutions correspond to M5-branes on discs and orbifolds.

Truncation enables exploration of dual SCFT states.

Abstract

We construct new supersymmetric solutions corresponding to M5-branes wrapped on a topological disc by turning on additional scalars in the background. The presence of such scalar fields breaks one of the U(1) isometries of the internal space, explicitly realising the breaking by the Stuckelberg mechanism observed previously. In addition, we construct a consistent truncation of maximal seven-dimensional gauged supergravity on the disc to five-dimensional Romans' SU (2) x U(1) gauged supergravity, allowing us to construct a plethora of new supergravity solutions corresponding to more general states in the dual SCFTs as well as solutions corresponding to M5-branes wrapping four-dimensional orbifolds.