Null Reductions of M5-Branes

TL;DR

This paper develops a reduction of M5-branes on spacetimes with null Killing vectors, resulting in supersymmetric non-Lorentzian gauge theories in 4+1 dimensions useful for DLCQ constructions.

Contribution

It introduces a general null reduction of M5-branes, including background flux couplings, non-abelian extensions, and supersymmetry transformations, expanding the understanding of M5-brane dynamics.

Findings

Derived supersymmetric non-Lorentzian gauge theories in 4+1 dimensions.

Extended the M5-brane action to include non-abelian and flux couplings.

Provided tools for DLCQ constructions of M5-branes.

Abstract

We perform a general reduction of an M5-brane on a spacetime that admits a null Killing vector, including couplings to background 4-form fluxes and possible twisting of the normal bundle. We give the non-abelian extension of this action and present its supersymmetry transformations. The result is a class of supersymmetric non-lorentzian gauge theories in 4+1 dimensions, which depend on the geometry of the six-dimensional spacetime. These can be used for DLCQ constructions of M5-branes reduced on various manifolds.