Maximal trombone supergravity from wrapped M5-branes

TL;DR

This paper constructs a new class of four-dimensional maximal supergravities involving gaugings of the trombone symmetry, derived from consistent truncations of eleven-dimensional supergravity related to wrapped M5-branes.

Contribution

It demonstrates the first maximally supersymmetric consistent truncation to four dimensions from M5-branes using exceptional generalised geometry.

Findings

Supergravities arise from consistent truncation of D=11 supergravity.

Reduction manifold is related to the internal geometry of wrapped M5-branes.

First example of a maximally supersymmetric truncation involving the trombone symmetry.

Abstract

A new family of maximal supergravities in four dimensions, involving gaugings of the trombone scaling symmetry, has been recently introduced. Using exceptional generalised geometry, we show some supergravities in this class to arise by consistent truncation of $D=11$ supergravity. The seven-dimensional reduction manifold is locally equivalent to the topologically-twisted internal manifold of the AdS$_4$ geometries that arise near the horizon of M5-branes wrapped on supersymmetric three-cycles of special holonomy manifolds. The dimensional reduction involves a mixture of conventional and generalised Scherk-Schwarz prescriptions, and provides the first maximally supersymmetric consistent truncation to four dimensions in the context of the M5-brane.