Progress in classically solving ten dimensional supersymmetric reduced Yang-Mills theories

Abstract

It is shown that there exists an on-shell light cone gauge where half of the fermionic components of the super vector potential vanish, so that part of the superspace flatness conditions becomes linear. After reduction to $(1+1)$ space-time dimensions, the general solution of this subset of equations is derived. The remaining non-linear equations are written in a form which is analogous to Yang equations, albeit with superderivatives involving sixteen fermionic coordinates. It is shown that this non-linear part may, nevertheless, be solved by methods similar to powerful technics previously developed for the (purely bosonic) self-dual Yang Mills equations in four dimensions.

17 pages Latex non figures

References in corpus (1)

• Matrix String Theory

Cited by in corpus (4)

• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Harmonic-Superspace Method Of Solving N=3 Super-Yang-Mills Equations
• N=4 Super-Yang-Mills Equations In Harmonic Superspace
• Lax equations in ten dimensional supersymmetric classical Yang-Mills theories