Covariance of the selfdual vector model

TL;DR

This paper analyzes the covariance and algebraic structure of the selfdual vector model, deriving conserved charges, examining Lorentz invariance, and discussing the spin of excitations within the framework of the reduced action.

Contribution

It provides a detailed derivation of the Poisson algebra, conserved charges, and covariance proof for the selfdual vector model using the reduced action approach.

Findings

Poisson algebra between fields is explicitly obtained.

Conserved charges related to Lorentz invariance are derived.

Covariance is confirmed via Schwinger-Dirac algebra.

Abstract

The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by means of the reduced action. The conserved charges associated with the invariance under the inhomogeneous Lorentz group are obtained and its action on the fields. The covariance of the theory is proved using the Schwinger-Dirac algebra. The spin of the excitations is discussed.