Zerocurvature representation for harmonicsuperspace equations of motion in $N=1, D=6$ supersymmetric gauge theory
Abstract
We consider the $SYM^1_6$ harmonicsuperspace system of equations that contains superfield constraints and equations of motion for the simplest sixdimensional 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 zerocurvature 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 $SYM^1_6$ solution . An analogous approach for the analysis of integrability conditions for the $SYM^2_4$theory and $SYM$supergravitymatter systems in harmonic superspace is discussed briefly.
 Publication:

arXiv eprints
 Pub Date:
 December 1995
 arXiv:
 arXiv:hepth/9512035
 Bibcode:
 1995hep.th...12035Z
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex file, 17 pages