A Concise Review on M5-brane in Large C-Field Background

TL;DR

This paper reviews recent advances in the theory of M5-branes in large C-field backgrounds, focusing on their geometric, algebraic, and gauge symmetry properties derived from the Bagger-Lambert model.

Contribution

It provides a concise overview of the M5-brane theory in a large C-field, highlighting its non-Abelian gauge symmetry and Nambu-Poisson structure.

Findings

Description of M5-brane as a 6D self-dual gauge theory

Identification of gauge symmetry as diffeomorphisms preserving a 3-form

Discussion of geometric and algebraic properties of the theory

Abstract

We give a concise review of recent developments of the M5-brane theory derived from the Bagger-Lambert model. It is a 6 dimensional supersymmetric self-dual gauge theory describing an M5-brane in a large constant $C$-field background. The non-Abelian gauge symmetry corresponds to diffeomorphisms preserving an exact 3-form on the worldvolume, which defines a Nambu-Poisson bracket. Various interesting geometric and algebraic properties of the theory are discussed.