1995/12/06 by B. M. Zupnik, Zupnik, B. M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9512035
Latex file, 17 pages
arxiv created 1995/12/06 · arxiv updated 2009/11/30
We consider the SYM16 harmonic-superspace system of equations that contains superfield constraints and equations of motion for the simplest six-dimensional supersymmetric gauge theory. A special A-frame of the analytic basis is introduced where a kinematic equation for the harmonic connection A\s-- can be solved . A dynamical equation in this frame is equivalent to the zero-curvature equation corresponding to the covariant conservation of analyticity. Using a simple harmonic gauge condition for the gauge group SU(2) we derive the superfield equations that produce the general SYM16 solution . An analogous approach for the analysis of integrability conditions for the SYM24-theory and SYM-supergravity-matter systems in harmonic superspace is discussed briefly.