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Carroll Fermions

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arxiv 2312.00745 v2 pith:W2EIHA4S submitted 2023-12-01 hep-th

classification hep-th
keywords carrollfermionsmagneticactiondimensionsdiraclimitsbuild
verification ladder T0 review T1 audit T2 compute T3 formal

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Using carefully chosen projections, we consider different Carroll limits of relativistic Dirac fermions in any spacetime dimensions. These limits define Carroll fermions of two types: electric and magnetic. The latter type transforms as a reducible but indecomposable representation of the Carroll group. We also build action principles for all Carroll fermions we introduce; in particular, in even dimensions we provide an action principle for a minimal magnetic Carroll fermion, having the same number of components as a Dirac spinor. We then explore the coupling of these fermions to magnetic Carroll gravity in both its first-order and second-order formulations.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interacting Galilean and Finite-Energy Carroll Fermions

    hep-th 2026-08 conditional novelty 7.0 of 10

    A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.

  2. On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...

  3. Supersymmetric Twisted Carroll Theories

    hep-th 2026-08 conditional novelty 6.0 of 10

    A 2+1-dimensional twisted Carroll superalgebra is realized from a 2+2-dimensional parent algebra, with new off-shell magnetic scalar and Abelian Yang-Mills theories whose fields are time-independent but propagate in space.

  4. Carroll fermions of arbitrary spin

    hep-th 2026-07 accept novelty 6.0 of 10

    Free massless fermions of arbitrary spin admit two inequivalent Carrollian (c→0) limits, electric and magnetic, derived from the Fang–Fronsdal actions, with the magnetic theory reducible to the projected relativistic ...

  5. On Carrollian and Celestial Correlators in General Dimensions

    hep-th 2025-08 conditional novelty 6.0 of 10

    Explicit two-, three-, and four-point Carrollian and celestial amplitudes for massless scalars in D dimensions, connected to the flat/Carrollian limit of AdS/CFT correlators.

  6. Quantization of Carrollian fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.

  7. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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