B-V Quantization in 2-D Gravity and New Conformal Fields

TL;DR

This paper explores the Batalin-Vilkovisky quantization of 2-D gravity, revealing a factorized structure with duality properties and introducing new conformal fields with invariant actions.

Contribution

It introduces a novel factorized structure in 2-D gravity within the BV quantization framework and proposes new conformal fields with invariant actions.

Findings

Discovery of a factorized structure in 2-D gravity

Identification of duality properties similar to topological theories

Introduction of new conformal fields with invariant actions

Abstract

We investigate the properties of 2-D gravity in the Batalin and Vilkovisky quantization scheme. We find a factorized structure which exhibits duality properties analogous to those existing in the topological theories of forms. New conformal field are introduced with their invariant action.