Super-Yang-Mills Theory in SIM(1) Superspace
arXiv:1409.6334 · doi:10.1103/PhysRevD.91.045015
Abstract
In this paper, we will analyse three dimensional supersymmetric Yang-Mills theory coupled to matter fields in superspace formalism. The original theory which is invariant under the full Lorentz group has supersymmetry. However, when we break the Lorentz symmetry down to group, the superspace will break half the supersymmetry of the original theory. Thus, the resultant theory in superspace will have supersymmetry. This is the first time that supersymmetry will be broken down to supersymmetry, for a three dimensional theory, on a manifold without a boundary. This is because it is not possible to use non-anticommutativity to break supersymmetry down to supersymmetry in three dimensions.
20 pages, 0 figures, accepted for publication in Phys Rev D
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