Couplings of self-dual tensor multiplet in six dimensions

TL;DR

This paper develops a supersymmetric coupling of a self-dual tensor multiplet with Yang-Mills fields in six dimensions, detailing the self-duality condition involving Chern-Simons modifications without supergravity.

Contribution

It provides a consistent formulation of the fully supersymmetric coupling of the tensor multiplet to Yang-Mills fields in six dimensions, including the self-duality condition with Chern-Simons terms.

Findings

Successful construction of supersymmetric coupling without supergravity

Explicit form of the self-duality equation with Chern-Simons modifications

Inclusion of an arbitrary dimensionful parameter in the formulation

Abstract

The (1,0) supersymmetry in six dimensions admits a tensor multiplet which contains a second-rank antisymmetric tensor field with a self-dual field strength and a dilaton. We describe the fully supersymmetric coupling of this multiplet to Yang-Mills multiplet, in the absence of supergravity. The self-duality equation for the tensor field involves a Chern-Simons modified field strength, the gauge fermions, and an arbitrary dimensionful parameter.