Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism

TL;DR

This paper investigates the gauge symmetries of a quantum charged rigid membrane, revealing a Virasoro algebra structure and establishing a correspondence between higher derivative and first order formalisms.

Contribution

It applies a new first order formalism to analyze gauge symmetries in a higher derivative membrane model, identifying reparametrisation symmetry and Virasoro algebra structure.

Findings

Gauge symmetry is reparametrisation invariance.

First class constraints form a truncated Virasoro algebra.

Established equivalence between higher derivative and first order formalisms.

Abstract

The quantum charged rigid membrane model, which is a higher derivative theory has been considered to explore its gauge symmetries using a recently developed first order formalism \cite{BMP}. Hamiltonian analysis has been performed and the gauge symmetry of the model is identified as reparametrisation symmetry. First class constraints are shown to have a truncated Virasoro algebraic structure. An exact correspondence between the higher derivative theory and the first order formalism has been shown from the point of view of equations of motion.