Non-Abelian tensor hierarchy in (1,0) D=6 superspace

TL;DR

This paper develops a superspace framework for non-Abelian tensor hierarchies in six-dimensional (1,0) supersymmetry, linking superfield constraints to equations of motion of a superconformal theory.

Contribution

It introduces a set of superfield constraints in D=6 (1,0) superspace that reproduce the equations of motion of a recent superconformal model, including duality and anti-self-duality conditions.

Findings

Superfield constraints reproduce superconformal equations of motion.

Includes anti-self-duality conditions for 2-form potentials.

Establishes duality relations among field strengths.

Abstract

We present a set of constraints on superfield strengths of the non-Abelian p-form potentials in D=6 (1,0) superspace which reproduces, as their selfconsistency conditions, the equations of motion of the recently proposed (1,0) superconformal theory. These include the anti-self-duality conditions for the field strength of the non-Abelian 2-form potential, duality between field strengths of the non-Abelian vectors and 3-forms as well as of the non-Abelian four forms and scalar fields.