Nonabelian (2,0) Tensor Multiplets and 3-algebras

TL;DR

This paper develops a nonabelian system of equations based on 3-algebras that represent the (2,0)-supersymmetric tensor multiplet, linking six-dimensional theories to five-dimensional gauge theories and exploring brane applications.

Contribution

It introduces a novel nonabelian formulation of the (2,0) tensor multiplet using 3-algebras, with implications for brane physics and dimensional reductions.

Findings

System reduces to 5D gauge theory with 6D abelian tensor multiplets.

Provides a framework for D4-branes via spacelike reduction.

Suggests a null reduction approach for M5-branes.

Abstract

Using 3-algebras we obtain a nonabelian system of equations that furnish a representation of the (2,0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so that the system can be reduced to five-dimensional gauge theory along with six-dimensional abelian (2,0) tensor multiplets. We briefly discuss possible applications to D4-branes using a spacelike reduction and M5-branes using a null reduction.