Conformal Gauge Generators in Liouville Theory

TL;DR

This paper develops a new method to construct gauge generators in Liouville theory's conformal symmetry, addressing boundary condition challenges using Hamiltonian light-front formalism.

Contribution

It introduces a general approach for constructing gauge generators in theories with boundary conditions, specifically applied to Liouville theory's conformal symmetry.

Findings

Successfully constructed gauge generators accommodating boundary conditions.

Provided a consistent Hamiltonian framework for conformal symmetry analysis.

Enhanced understanding of gauge symmetry in boundary-involved field theories.

Abstract

The conformal symmetry in the Liouville theory is analysed by using the Hamiltonian light--front formalism. The boundary conditions of dynamical variables are seen to involve an arbitrary function of time, so that the standard methods for studying gauge symmetries do not work. We develop a general method for constructing the gauge generators, which enables a consistent treatment of the boundary conditions present in the case of the conformal symmetry.