Null Dimensional Reduction of M2-Brane

TL;DR

This paper develops a method to reduce M2-branes on spacetimes with null symmetries, resulting in string and D2-brane actions within Newton-Cartan geometry, advancing understanding of non-relativistic brane dynamics.

Contribution

It introduces a null dimensional reduction technique for M2-branes, connecting M-theory to non-relativistic string and D2-brane theories in Newton-Cartan backgrounds.

Findings

Derived fundamental string and D2-brane actions in Newton-Cartan spacetime.

Established a general reduction framework for M2-branes with null Killing vectors.

Enhanced the understanding of non-relativistic limits in M-theory branes.

Abstract

We perform a general reduction of an M2-brane on a space-time that admits a null Killing vector leading to fundamental string and D2-brane action in Newton-Cartan background.