Conformal totally symmetric arbitrary spin fermionic fields

TL;DR

This paper develops a first-derivative gauge-invariant formulation for conformal totally symmetric fermionic fields of arbitrary spin in even-dimensional flat spacetime, analyzing their symmetries and degrees of freedom.

Contribution

It introduces a novel metric-like formulation with Fang-Fronsdal operators, gauge invariances, and conformal symmetry realizations for high-spin fermionic fields.

Findings

Constructed gauge invariant Lagrangian for conformal fermionic fields.

Realized conformal algebra symmetries on the field space.

Analyzed on-shell degrees of freedom of the fields.

Abstract

Conformal totally symmetric arbitrary spin fermionic fields propagating in the flat space-time of even dimension greater than or equal to four are investigated. First-derivative metric-like formulation involving Fang-Fronsdal kinetic operator for such fields is developed. Gauge invariant Lagrangian and the corresponding gauge transformations are obtained. Gauge symmetries of the Lagrangian are realized by using auxiliary fields and the Stueckelberg fields. Realization of 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.