Constrained Dynamics of the Coupled Abelian Two-Form

TL;DR

This paper analyzes the constrained dynamics of an antisymmetric tensor coupled to an abelian gauge field, using Dirac's method to reduce phase space and exploring duality transformations.

Contribution

It provides a detailed phase space reduction for the coupled Abelian two-form theory and discusses duality transformations within this framework.

Findings

Phase space reduction via Dirac's procedure

Duality transformations on the reduced phase space

Insights into the constrained dynamics of antisymmetric tensor fields

Abstract

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.