Symplectic Embedding of a Massive Vector-Tensor Theory with Topological Coupling

TL;DR

This paper introduces a symplectic embedding method to convert a massive vector-tensor theory into a gauge-invariant system by extending the configuration space, providing an alternative to the BFT approach.

Contribution

It presents a novel symplectic embedding technique for massive vector-tensor theories, including the derivation of the Wess-Zumino action and comparison with BFT methods.

Findings

Successfully embedded the theory into a gauge-invariant form

Extended the configuration space with scalar and vector fields

Compared symplectic and BFT embedding approaches

Abstract

In the symplectic Lagrangian framework we newly embed an irreducible massive vector-tensor theory into a gauge invariant system, which has become reducible, by extending the configuration space to include an additional pair of scalar and vector fields, which give the desired Wess-Zumino action. A comparision with the BFT Hamiltonian embedding approach is also done.