New forms of BRST symmetry in rigid rotor

TL;DR

This paper explores new forms of BRST symmetry in a rigid rotor system using the Batalin-Fradkin-Vilkovisky formalism, revealing dual-BRST symmetry through canonical transformations in ghost and Lagrange multiplier sectors.

Contribution

It introduces novel forms of BRST and dual-BRST symmetries derived via specific canonical transformations within the Batalin-Fradkin-Vilkovisky framework.

Findings

Dual-BRST symmetry obtained from usual BRST via ghost sector transformation

New BRST form derived from transformations in Lagrange multiplier sector

Enhanced understanding of symmetry structures in constrained systems

Abstract

We derive the different forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a rigid rotor. The so called "dual-BRST" symmetry is obtained from usual BRST symmetry by making a canonical transformation in the ghost sector. On the other hand, a canonical transformation in the sector involving Lagrange multiplier and its corresponding momentum leads to a new form of BRST as well as dual-BRST symmetry.