BFT Embedding of Non-commutative Chiral Bosons

TL;DR

This paper applies the BFT Hamiltonian embedding method to a two-dimensional non-commutative chiral boson model, revealing its symmetry structure and field propagation characteristics.

Contribution

It introduces a novel application of BFT embedding to non-commutative chiral bosons, converting second-class constraints into first-class and analyzing their symmetries.

Findings

Propagation speed matches the original second-class system.

First-class constraints exhibit a specific symmetry structure.

The embedding preserves key physical properties of the model.

Abstract

A two dimensional model of chiral bosons in non-commutative field space is considered in the framework of the Batalin-Fradkin-Tyutin (BFT) Hamiltonian embedding method converting the second-class constrained system into the first-class one. The symmetry structure associated with the first-class constraints is explored and the propagation speed of fields is equivalent to that of the second-class constraint system.