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Super-Carrollian and Super-Galilean Field Theories
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Super-Carrollian and Super-Galilean Field Theories
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The exploration of scalar field theories that exhibit Carroll and Galilei symmetries has attracted a lot of attention. In this paper, we generalize these studies to fermionic field theories and construct consistent electric and magnetic descriptions of Carrollian and Galilean spin $\tfrac{1}{2}$ fermions. We showcase various methods that offer complementary perspectives into the limiting process of the underlying relativistic theories. Moreover, we extend our study to $\mathcal{N}=1$ off-shell supersymmetric field theories in four dimensions. By introducing suitable Grassmann-analyticity conditions, we formulate the corresponding super-Carrollian and super-Galilean theories. These theories combine the established Carroll/Galilei scalars with the Carroll/Galilei fermions and a range of auxiliary fields into supermultiplets.
Forward citations
Cited by 9 Pith papers
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A Twisted Origin for Magnetic Carroll Supersymmetry
Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.
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Carroll supergravities
Electric and magnetic Carrollian limits of N=1, D=4 supergravity are obtained by Hamiltonian contraction, yielding ultralocal electric and gradient-retaining magnetic theories with simplified constraint algebras.
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Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction
Derives Carrollian Maxwell theories (magnetic and electric) plus new scalar couplings through deformed light-cone null reduction while keeping first-class Gauss constraint and gauge invariance.
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Post-Carroll Algebra, Conformal Extensions, and Field Theories
Introduces the post-Carroll algebra and its conformal extensions, including the Carroll-Schrödinger algebra, and computes two-point functions in post-Carrollian CFTs.
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Carroll fermions from null reduction: A case of good and bad fermions
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
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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.
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Post-Carroll Algebra, Conformal Extensions, and Field Theories
Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carroll...
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The Carrollian Kaleidoscope
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
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