A proposal for the non-Abelian tensor multiplet

TL;DR

This paper explores a non-Abelian extension of the six-dimensional (1,0) tensor multiplet, deriving supersymmetry variations, equations of motion, and a modified self-duality constraint, building on prior work relating to compactification and five-dimensional theories.

Contribution

It provides a detailed study of the non-Abelian generalization of the (1,0) tensor multiplet, including supersymmetry variations and on-shell closure, advancing understanding of higher-dimensional gauge theories.

Findings

Derived supersymmetry variations that close on-shell.

Obtained fermionic equations of motion.

Formulated a modified selfduality constraint.

Abstract

If one compactifies the Abelian $(1,0)$ tensor multiplet on a circle, one finds 5d SYM for the zero modes. For the Kaluza-Klein modes one can likewise find a Lagrangian description in 5d \cite{Bonetti:2012st}. Since in 5d we have an ordinary YM gauge potential, one may look for a non-Abelian generalization and indeed such a non-Abelian generalization was found in \cite{Bonetti:2012st}. In this paper, we study this non-Abelian generalization for the $(1,0)$ tensor multiplet in detail. We obtain the supersymmetry variations that we close on-shell. This way we get the fermionic equation of motion and a modified selfduality constraint.