Gauge Invariant Formulations of Lineal Gravity

TL;DR

This paper presents a gauge-invariant formulation of lineal gravity inspired by string theory, utilizing the Poincaré group with central extension to simplify and complement existing models.

Contribution

It introduces a gauge-invariant approach based on the extended Poincaré group, providing a simpler and more complete formulation of lineal gravity compared to previous methods.

Findings

Formulation as a gauge invariant theory using extended Poincaré group

Simplifies Verlinde's construction of lineal gravity

Provides a complementary perspective to existing models

Abstract

It is shown that the currently studied ``string-inspired'' model for gravity on a line can be formulated as a gauge invariant theory based on the Poincar\'e group with central extension -- a formulation that complements and simplifies H.~Verlinde's construction based on the unextended Poincar\'e group.