Zero-curvature representation for harmonic-superspace equations of motion in $N=1,D=6$ supersymmetric gauge theory

Abstract

We consider the $SY{M}_6^1$ 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 $SY{M}_6^1$ solution . An analogous approach for the analysis of integrability conditions for the $SY{M}_4^2$-theory and $SYM$-supergravity-matter systems in harmonic superspace is discussed briefly.

Latex file, 17 pages

References in corpus (1)

• Harmonic-Superspace Integrability of N=1, D=6 Supersymmetric Gauge Theory