hep-th/9512035, JINR-E2-95-458 ZERO-CURVATURE REPRESENTATION FOR HARMONIC-SUPERSPACE EQUATIONS OF MOTION IN N = 1; D = 6 SUPERSYMMETRIC GAUGE THEORY B.M.Zupnik
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Abstract:
We consider the SY M 1 6 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 \Gamma\Gamma 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 SY M 1 6 solution. An analogous approach for the analysis of integrability conditions for the SY M 2
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