ZERO-CURVATURE REPRESENTATION FOR 6-DIMENSIONAL SUPERSYMMETRIC GAUGE-THEORY IN HARMONIC SUPERSPACE

An SYM(6)(1) system of equations that includes superfield constraints and the equations of motion for N = 1, D = 6 supersymmetric gauge theo ry is considered in harmonic superspace. For an analytic basis, a spec ial A form is introduced that makes it possible to solve one equation of the SYM(6)(1) system for the harmonic connection. In this basis, th e dynamical equation is equivalent to the zero-curvature condition, wh ich corresponds to the covariant conservation of analyticity. With the aid of a simple harmonic gauge for the SU(2) gauge group, superfield equations that generate a general SYM(6)(1) solution are derived. A si milar approach to the analysis of integrability of SYM supergravity-ma tter systems of equations is briefly discussed.