An Extended Abelian Chern-Simons Model and the Symplectic Projector Method

TL;DR

This paper applies the Symplectic Projector Method to an extended Abelian Chern-Simons model with supersymmetric features, exploring quantisation and gauge structure in a coupled gauge potential system.

Contribution

It introduces a novel application of the Symplectic Projector Method to a supersymmetric extended Abelian Chern-Simons model with coupled gauge potentials.

Findings

Quantisation aspects of the model are analyzed.

The gauge structure is elucidated using the symplectic approach.

Supersymmetric field content is incorporated into the framework.

Abstract

The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3 supersymmetric theory whenever scalar and fermionic matter is suitably coupled to the family of gauge potentials.