Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle

TL;DR

This paper proposes a supersymmetric non-Abelian gauge theory with Kaluza-Klein modes to describe multiple M5-branes on a circle, including BPS states and potential for non-Abelian gerbes.

Contribution

It introduces a novel classical gauge theory framework incorporating KK modes for multiple M5-branes, with explicit supersymmetry and gauge symmetry structures.

Findings

Describes BPS configurations with KK modes, including M-waves and M2-branes.

Provides a gauge symmetry parametrized by Lie-algebra valued 1-forms.

Lays groundwork for non-Abelian gerbes in five dimensions.

Abstract

A supersymmetric non-Abelian self-dual gauge theory with the explicit introduction of Kaluza-Klein modes is proposed to give a classical description of multiple M5-branes on $R^5 \times S^1$. The gauge symmetry is parametrized by Lie-algebra valued 1-forms with the redundancy of a 0-form, and the supersymmetry transformations without gauge-fixing are given. We study BPS configurations involving KK modes, including M-waves and M2-branes with non-trivial distributions around the circle. Finally, this supersymmetric gauge theory of two-forms can be equipped with more general non-Abelian gerbes in five dimensions.