Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space

TL;DR

This paper develops a gauge invariant formulation for massive totally symmetric fermionic fields in (A)dS space, providing new actions and transformations, and explores partial masslessness, confirming previous conjectures in four dimensions.

Contribution

It introduces a gauge invariant action and transformations for massive fermionic fields in (A)dS space, linking mass parameters with energy eigenvalues, and studies partial masslessness.

Findings

Confirmed the conjecture on partial masslessness in 4D (A)dS.

Provided explicit gauge invariant formulations for fermionic fields.

Linked mass parameters to energy eigenvalues in the formulation.

Abstract

Massive arbitrary spin totally symmetric free fermionic fields propagating in d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant action and the corresponding gauge transformations for such fields are proposed. The results are formulated in terms of various mass parameters used in the literature as well as the lowest eigenvalues of the energy operator. We apply our results to a study of partial masslessness of fermionic fields in (A)dS(d), and in the case of d=4 confirm the conjecture made in the earlier literature.