0910.0620 (M. Movshev et al.)

Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories    [PDF]

M. Movshev, A. Schwarz

We study supersymmetric and super Poincar\'e invariant deformations of ten-dimensional super Yang-Mills theory and of its dimensional reductions. We describe all infinitesimal super Poincar\'e invariant deformations of equations of motion of ten-dimensional super Yang-Mills theory and its reduction to a point; we discuss the extension of them to formal deformations. Our methods are based on homological algebra, in particular, on the theory of L-infinity and A-infinity algebras. The exposition of this theory as well as of some basic facts about Lie algebra homology and Hochschild homology is given in appendices.

View original: http://arxiv.org/abs/0910.0620