Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories

Abstract

We study supersymmetric and super Poincaré invariant deformations of ten-dimensional super Yang-Mills theory and of its dimensional reductions. We describe all infinitesimal super Poincaré 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.

New results added. 111 pages

References in corpus (5)

• On maximally supersymmetric Yang-Mills theories
• Explaining the Pure Spinor Formalism for the Superstring
• The Character of Pure Spinors
• Pure spinor superfields and Born-Infeld theory
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