Frame- and Metric-like Higher-Spin Fermions

Rahman, Rakibur

doi:10.3390/universe4020034

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Frame- and Metric-like Higher-Spin Fermions

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Rahman, Rakibur
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1712.09264.pdf
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universe-04-00034-v4.pdf
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Citation

Rahman, R. (2018). Frame- and Metric-like Higher-Spin Fermions. Universe, 4(2): 34. doi:10.3390/universe4020034.

Cite as: https://hdl.handle.net/21.11116/0000-0000-BA9B-0

Abstract

Conventional descriptions of higher-spin fermionic gauge fields appear in two varieties: the Aragone-Deser-Vasiliev frame-like formulation and the Fang-Fronsdal metric-like formulation. We review, clarify and elaborate on some essential features of these two. For frame-like free fermions in Anti-de Sitter space, one can present a gauge-invariant Lagrangian description such that the constraints on the field and the gauge parameters mimic their flat-space counterparts. This simplifies the explicit demonstration of the equivalence of the two formulations at the free level. We comment on the subtleties that may arise in an interacting theory.