Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space

TL;DR

This paper develops a Lagrangian formulation for massive fermionic antisymmetric tensor fields in AdS_d space using the BRST approach, simplifying the theory by eliminating auxiliary fields for this specific case.

Contribution

It applies the BRST method to construct a Lagrangian for massive fermionic antisymmetric fields in AdS space, and shows how to remove auxiliary fields in this special case.

Findings

Lagrangian constructed using BRST approach for antisymmetric fermionic fields.

Auxiliary fields can be eliminated in the specific case, simplifying the model.

The resulting Lagrangian depends only on the basic field.

Abstract

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. However, unlike the generic higher spin theory, for the special case under consideration we show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.