HARMONIC-SUPERSPACE INTEGRABILITY OF N=1, D=6 SUPERSYMMETRIC GAUGE-THEORY

We consider the harmonic-superspace (HS) system of equations that cont ains superfield SYM(6)(1) constraints and equations of motion. A dynam ical equation in the special superfield variables is equivalent to the zero-curvature equation corresponding to a covariant conservation of HS-analyticity. Properties of a general SYM(6)(1) solution for the gau ge group SU(2) are studied in the simplest harmonic gauge. An analogou s approach to the integrability interpretation of SYM-supergravity-mat ter systems in HS is discussed briefly.