The M5-Brane Limit of Eleven-Dimensional Supergravity

TL;DR

This paper develops a non-relativistic limit of eleven-dimensional supergravity focused on M5-branes, resulting in a Galilean-invariant action with scale symmetry, and explores its implications for gravitational fluctuations and brane fluxes.

Contribution

It introduces a novel non-relativistic M5-brane limit of supergravity with new symmetries and analyzes the resulting equations of motion and physical interpretations.

Findings

Derived a Galilean-invariant supergravity action with local scale symmetry.

Revealed a Poisson-like equation linked to M5-brane sources.

Connected flux of a Lagrange multiplier to the number of M5-branes.

Abstract

We construct the M5-brane limit of eleven-dimensional supergravity. The resulting action is invariant under Galilean boosts and has a local scale symmetry. We also consider the limit of the equations of motion where we recover a Poisson-like equation arising from an M5-brane source but which does not follow from the non-relativistic action. We argue that the resulting theory describes gravitational fluctuations around a stack of M5-branes, represented by a trivial Minkowskian spacetime, but where the number of M5-branes is determined by the flux of a Lagrange multiplier field.