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arXiv · hep-th/9811108

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

Jean-Loup Gervais·Mikhail Saveliev
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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.

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Jean-Loup Gervais, Mikhail Saveliev. 1998-11-12. Progress in classically solving ten dimensional supersymmetric reduced Yang-Mills theories. https://doi.org/10.1016/s0550-3213(99)00296-5

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