Conformal Totally Symmetric Arbitrary Spin Fermionic Fields

Conformal totally symmetric arbitrary spin fermionic fields propagating in the flat space–time of even dimension $d\ge 4$ 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.