Super-Yang-Mills Theory in SIM(1) Superspace

Abstract

In this paper, we will analyse three dimensional supersymmetric Yang-Mills theory coupled to matter fields in $SIM(1)$ superspace formalism. The original theory which is invariant under the full Lorentz group has $\mathcal{N}=1$ supersymmetry. However, when we break the Lorentz symmetry down to $SIM(1)$ group, the $SIM(1)$ superspace will break half the supersymmetry of the original theory. Thus, the resultant theory in $SIM(1)$ superspace will have $\mathcal{N}=1/2$ supersymmetry. This is the first time that $\mathcal{N}=1$ supersymmetry will be broken down to $\mathcal{N}=1/2$ 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 $\mathcal{N}=1$ supersymmetry down to $\mathcal{N}=1/2$ supersymmetry in three dimensions.

arXiv comment20 pages, 0 figures, accepted for publication in Phys Rev D

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Cited by in corpus (10)

• Very Special Relativity as a background field theory
• Quantum Gauge Freedom in Very Special Relativity
• Chern-Simons Theory in SIM(1) Superspace
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• Axion Mass Bound in Very Special Relativity
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Induced non-Abelian Chern-Simons effective action in very special relativity
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Lorentz-violating gaugeon formalism for rank-2 tensor theory