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

Agarwal, Abhishek

doi:10.1103/PhysRevD.80.105020

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

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Agarwal, Abhishek
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Agarwal, A. (2009). A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1. Physical Review D., 80(10): 105020. doi:10.1103/PhysRevD.80.105020.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-60CD-3

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 $Clifford_2(R)$.