Constraints, gauge symmetries, and noncommutative gravity in two dimensions

TL;DR

This paper develops a canonical formalism for space-time noncommutative theories, enabling the analysis of gauge symmetries, and applies it to deform two-dimensional string gravity, providing new insights into noncommutative gravitational models.

Contribution

It introduces a canonical formalism for noncommutative theories and applies it to deform 2D string gravity, advancing understanding of gauge symmetries in noncommutative spacetime.

Findings

Formalism defines first-class constraints in noncommutative theories

Deformation of 2D string gravity using the formalism

Analysis of gauge symmetries in noncommutative gravity

Abstract

After an introduction into the subject we show how one constructs a canonical formalism in space-time noncommutative theories which allows to define the notion of first-class constraints and to analyse gauge symmetries. We use this formalism to perform a noncommutative deformation of two-dimensional string gravity (also known as Witten black hole).