On Lagrangian Formulation for Spin (2,1,1) Massive Tensor Field on Minkowski Backgrounds

TL;DR

This paper develops a Lagrangian formulation for a massive rank-4 tensor field with generalized spin (2,1,1) in Minkowski spacetime, using dimensional reduction from a higher-dimensional massless gauge model.

Contribution

It introduces a new Lagrangian model for massive (2,1,1) tensor fields in any dimension greater than five, derived via dimensional reduction from a massless gauge theory.

Findings

Derived the Lagrangian for the massive tensor field in arbitrary dimensions.

Established a connection between massless and massive models through dimensional reduction.

Extended the formulation to Minkowski backgrounds of any dimension d>5.

Abstract

We derive the Lagrangian for a new model of a massive rank-4 tensor field with generalized spin (2,1,1) in Minkowski spacetime of any dimension d>5, by using dimensional reduction applied to a reducible gauge model of a massless rank-4 tensor field with generalized spin (2,1,1) in Minkowski spacetime of dimension d+1.