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arXiv · 0909.0959

A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1

Abhishek Agarwal
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Abstract

We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional reduction of the gauge theory and the SUSY algebra is related to a massive N=2 massive matrix quantum mechanics based on euclidean $Clifford_2(R)$.

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Abhishek Agarwal. 2009-09-18. A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1. https://doi.org/10.1103/physrevd.80.105020

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