Deformed Matrix Models, Supersymmetric Lattice Twists and N=1/4 Supersymmetry

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A manifestly supersymmetric nonperturbative matrix regularization for a twisted version of N = (8, 8) theory on a curved background (a two-sphere) is constructed. Both continuum and the matrix regularization respect four exact scalar supersymmetries under a twisted version of the supersymmetry algebra. We then discuss a succinct Q = 1 deformed matrix model regularization of N = 4 SYM in d = 4, which is equivalent to a non-commutative A*{sub 4} orbifold lattice formulation. Motivated by recent progress in supersymmetric lattices, we also propose a N = 1/4 supersymmetry preserving deformation of N = 4 SYM theory on R{sup ... continued below

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47 pages

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Unsal, Mithat September 24, 2008.

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A manifestly supersymmetric nonperturbative matrix regularization for a twisted version of N = (8, 8) theory on a curved background (a two-sphere) is constructed. Both continuum and the matrix regularization respect four exact scalar supersymmetries under a twisted version of the supersymmetry algebra. We then discuss a succinct Q = 1 deformed matrix model regularization of N = 4 SYM in d = 4, which is equivalent to a non-commutative A*{sub 4} orbifold lattice formulation. Motivated by recent progress in supersymmetric lattices, we also propose a N = 1/4 supersymmetry preserving deformation of N = 4 SYM theory on R{sup 4}. In this class of N = 1/4 theories, both the regularized and continuum theory respect the same set of (scalar) supersymmetry. By using the equivalence of the deformed matrix models with the lattice formulations, we give a very simple physical argument on why the exact lattice supersymmetry must be a subset of scalar subalgebra. This argument disagrees with the recent claims of the link approach, for which we give a new interpretation.

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47 pages

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  • Journal Name: Journal of High Energy Physics (JHEP)

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  • Report No.: SLAC-PUB-13386
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 938640
  • Archival Resource Key: ark:/67531/metadc899415

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  • September 24, 2008

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 23, 2016, 12:36 p.m.

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Unsal, Mithat. Deformed Matrix Models, Supersymmetric Lattice Twists and N=1/4 Supersymmetry, article, September 24, 2008; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc899415/: accessed May 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.