Progress in classically solving ten dimensional supersymmetric reduced Yang-Mills theories
Gervais, Jean-Loup ; Saveliev, Mikhail
arXiv, 9811108 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-11-12
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Physics - Classical Physics 
@article{9811108,
     author = {Gervais, Jean-Loup and Saveliev, Mikhail},
     title = {Progress in classically solving ten dimensional supersymmetric reduced
  Yang-Mills theories},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811108}
}

Gervais, Jean-Loup; Saveliev, Mikhail. Progress in classically solving ten dimensional supersymmetric reduced
  Yang-Mills theories. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811108/