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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
60/2009

Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories. I

Mikhail Movshev and A. Schwarz

Abstract

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.

Received:
Oct 6, 2009
Published:
Oct 16, 2009

Related publications

inJournal
2012 Repository Open Access
Mikhail Movshev and Albert Schwarz

Supersymmetric deformations of maximally supersymmetric Gauge theories

In: Journal of high energy physics, 2012 (2012) 9, p. 136