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.

中文翻译：

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共形共对称任意自旋费米子场

共形完全对称任意自旋狄拉克场中的偶数维扁平空间-时间传播d ≥4进行了研究。针对此类领域，开发了涉及Fang-Fronsdal动力学算子的一阶导数类度量公式。获得了量规不变的拉格朗日和相应的量规变换。通过使用辅助场和Stückelberg场可以实现Lagrangian的规范对称性。得到了在共形规费米子场空间上的共形代数对称性的实现。还研究了铁离子任意自旋保形场的壳上自由度。