Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra

TL;DR

This paper explores the equations of motion for non-Abelian (2,0) tensor multiplets in six dimensions using a loop extension of 3-algebra, deriving Lagrangian formulations and examining their relation via M-theory duality.

Contribution

It introduces a loop extension of Lorentzian 3-algebra to derive Lagrangian descriptions of non-Abelian (2,0) tensor multiplets.

Findings

Derived (5+d)-dimensional Lagrangians

Established relations between Lagrangians via M-theory duality

Analyzed equations around various constraint solutions

Abstract

In this paper, we study the equations of motion for non-Abelian N=(2,0) tensor multiplets in six dimensions, which were recently proposed by Lambert and Papageorgakis. Some equations are regarded as constraint equations. We employ a loop extension of the Lorentzian three-algebra (3-algebra) and examine the equations of motion around various solutions of the constraint equations. The resultant equations take forms that allow Lagrangian descriptions. We find various (5+d)-dimensional Lagrangians and investigate the relation between them from the viewpoint of M-theory duality.