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

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.