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

Abstract

We consider the harmonic-superspace ($HS$) system of equations that contains superfield $SY{M}_6^1$ constraints and equations of motion. A dynamical equation in the special $A$-frame is equivalent to the zero-curvature equation corresponding to a covariant conservation of $HS$-analyticity. Properties of a general $SY{M}_6^1$ solution for the gauge group $SU(2)$ are studied in the simplest harmonic gauge. An analogous approach to the integrability interpretation of $SYM$-$SG$-matter systems in $HS$ is discussed briefly.

Latex file, 7 pages

References in corpus (3)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Super Self-Duality as Analyticity in Harmonic Superspace
• Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of $A_1$ solutions

Cited by in corpus (5)

• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Background Harmonic Superfields in N=2 Supergravity
• Harmonic-Superspace Method Of Solving N=3 Super-Yang-Mills Equations
• On a Zero Curvature Representation for Bosonic Strings and $p$-Branes
• Zero-curvature representation for harmonic-superspace equations of motion in $N=1,D=6$ supersymmetric gauge theory