On electromagnetic interactions for massive mixed symmetry field

TL;DR

This paper develops a gauge-invariant framework to analyze electromagnetic interactions of massive mixed symmetry fields in (A)dS space, extending previous methods to include such complex fields and their higher spin generalizations.

Contribution

It extends the Fradkin-Vasiliev procedure to massive mixed symmetry fields, enabling systematic study of their electromagnetic interactions in (A)dS space.

Findings

Re-derived electromagnetic interactions for massive spin 2 fields.

Applied the method to mixed symmetry fields, demonstrating generalization.

Results applicable to higher spin fields and various spacetime backgrounds.

Abstract

In this paper we investigate electromagnetic interactions for simplest massive mixed symmetry field. Using frame-like gauge invariant formulation we extend Fradkin-Vasiliev procedure, initially proposed for investigation of gravitational interactions for massless particles in AdS space, to the case of electromagnetic interactions for massive particles leaving in (A)dS space with arbitrary value of cosmological constant including flat Minkowski space. At first, as an illustration of general procedure, we re-derive our previous results on massive spin 2 electromagnetic interactions and then we apply this procedure to massive mixed symmetry field. These two cases are just the simplest representatives of two general class of fields, namely completely symmetric and mixed symmetry ones, and it is clear that the results obtained admit straightforward generalization to higher spins as well.