Quantization of Two-Dimensional Gravity with Dynamical Torsion

TL;DR

This paper explores the quantization of two-dimensional gravity models incorporating dynamical torsion using advanced gauge theory formalisms and background field techniques.

Contribution

It applies Batalin-Vilkovisky and Batalin-Lavrov-Tyutin formalisms to quantize 2D gravity with torsion, providing a novel approach in this context.

Findings

Successful application of BV and BLT formalisms to 2D gravity with torsion

Development of a consistent quantization framework for the model

Insights into gauge invariance and anomaly structure in the theory

Abstract

We consider two-dimensional gravity with dynamical torsion in the Batalin - Vilkovisky and Batalin - Lavrov - Tyutin formalisms of gauge theories quantization as well as in the background field method.