Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories. I

Details Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories. I Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories. I

2009-10-04

arxiv.org/abs/0910.0620v1

Physics

High Energy Physics

High Energy Physics - Theory

89 pages

Scientific paper

We study supersymmetric and super Poincare invariant deformations of ten-dimensional super Yang-Mills theory and of its reduction to a point. We describe all infinitesimal super Poincare invariant deformations of equations of motion and prove that all of them are Lagrangian deformations and all of them can be extended 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.

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