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Conformal Totally Symmetric Arbitrary Spin Fermionic Fields

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Abstract

Conformal totally symmetric arbitrary spin fermionic fields propagating in the flat space-time of even dimension d ≥ 4 are investigated. A first-derivative metric-like formulation involving the Fang-Fronsdal kinetic operator for such fields is developed. A gauge invariant Lagrangian and the corresponding gauge transformations are obtained. The gauge symmetries of the Lagrangian are realized by using auxiliary fields and the Stückelberg fields. A realization of the conformal algebra symmetries on the space of conformal gauge fermionic fields is obtained. The on-shell degrees of freedom of the fermionic arbitrary spin conformal fields are also studied.

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This work was supported by the Russian Foundation for Basic Research, project no. 11-02-00685.

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  1. Lebedev Physical Institute of the Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991, Russia

    R. R. Metsaev

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This article was submitted by the author simultaneously in Russian and English

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Vol. 309, pp. 218–234.

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Metsaev, R.R. Conformal Totally Symmetric Arbitrary Spin Fermionic Fields. Proc. Steklov Inst. Math. 309, 202–218 (2020). https://doi.org/10.1134/S0081543820030153

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