The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
Aspects of Non-Relativistic Supersymmetric Theories
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abstract
Over the last decade, non-relativistic theories have attracted considerable attention. In general, such theories can be obtained by contracting relativistic parent theories. In this work, we discuss features of non-relativistic supersymmetric field theories from both the Galilean and Carrollian points of view that may be useful for constructing electric and magnetic non-relativistic theories.
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Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
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Carrollian ABJM: Fermions and Supersymmetry
The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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Carroll fermions, expansions and the lightcone
Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.