Aspects of effective theory for multiple M5-branes compactified on circle

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 × 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 gaugefixing 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.

Higher gauge theories from Lie n-algebras and off-shell covariantization

“…We compare our results with the theory given in [1]. This case is of particular interest for physics, since it can be related to the multiple M5-brane system compactified on S 1 [1,8,10]. In section 5, we discuss the n = 5 case.…”

“…From these investigations we understand that there are two main obstructions to obtain a local action with manifest Lorentz symmetry [7,8,10]. One originates from the difficulty to formulate the theory with nontrivially interacting tensor field and the other is the difficulty to construct the action for the self-dual tensor field [11][12][13][14].…”

“…It contains manifest Lorentz symmetry in 5 dimensions and upon dimensional reduction it leads to 5-dimensional Yang-Mills theory accompanied with some higher derivative corrections. As for supersymmetrization of higher gauge theories, the authors of [8] proposed a supersymmetric nonabelian self-dual gauge theory of 2-form fields in 6 dimensions, which reduces to a single M5-brane, if the gauge group is abelian. Ref.…”

The non-Abelian tensor multiplet

“…The gauge symmetry in 5d has an interesting non-Abelian gerbe structure [1], [2], [4]. In the simplest set-up where all the fields transform in the adjoint representation, the gauge symmetry variations are…”

Five-dimensional Super-Yang-Mills and its Kaluza-Klein tower

“…Another proposal has been to add a KK tower of fundamental field excitations to the 5d SYM. It has been shown that this can be done while preserving the 6d (1, 0) Poincare supersymmetry in flat space with one compact circle direction [11], [6], [14], [15]. In this paper, we will generalize this construction and consider six-manifolds that are circlebundles.…”