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Supersymmetric deformations of maximally supersymmetric gauge theories

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Abstract

We study supersymmetric and super Poincaré invariant deformations of tendimensional 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 deformations of the reduction to a point. We also discuss how these infinitesimals 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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Authors and Affiliations

  1. Stony Brook University, Stony Brook, NY, 11794-3651, U.S.A.

    M. V. Movshev

  2. Department of Mathematics, University of California, Davis, CA, 95616, U.S.A.

    A. Schwarz

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  1. M. V. Movshev
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  2. A. Schwarz
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Correspondence to M. V. Movshev.

Additional information

ArXiv ePrint: 0910.0620

The work of both authors was partially supported by NSF grant No. DMS 0505735 and by grants DE-FG02-90ER40542 and PHY99-0794. (A. Schwarz)

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Movshev, M.V., Schwarz, A. Supersymmetric deformations of maximally supersymmetric gauge theories. J. High Energ. Phys. 2012, 136 (2012). https://doi.org/10.1007/JHEP09(2012)136

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