TL;DR
This paper extends the SIM(2) invariant framework to include supersymmetry, formulating $ ext{N}=1$ SUSY gauge theories with SIM(2) couplings that feature only two conserved supercharges, unlike the usual four.
Contribution
It introduces a novel class of $ ext{N}=1$ SUSY gauge theories invariant under SIM(2), reducing the number of conserved supercharges and expanding the symmetry framework.
Findings
Formulation of SIM(2) invariant $ ext{N}=1$ SUSY gauge theories
Theories contain two conserved supercharges instead of four
Extension of flat spacetime invariance to include supersymmetry
Abstract
The proposal of hep-ph/0601236, that the laws of physics in flat spacetime need be invariant only under a SIM(2) subgroup of the Lorentz group, is extended to include supersymmetry. SUSY gauge theories which include SIM(2) couplings for the fermions in chiral multiplets are formulated. These theories contain two conserved supercharges rather than the usual four.
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