Poincar\'e Gauge Theory for Gravitational Forces in (1+1) Dimensions

TL;DR

This paper formulates string-inspired (1+1)-dimensional gravity as a gauge theory based on the extended Poincaré group, enabling gauge-invariant matter couplings and a covariant tensor framework.

Contribution

It introduces a gauge-theoretic formulation of lineal gravity in (1+1) dimensions with explicit matter coupling methods and a covariant tensor notation.

Findings

Successful gauge-invariant matter coupling for particles and Fermi fields

Development of a manifestly gauge-invariant covariant tensor formalism

Detailed formulation of string-inspired lineal gravity as a Poincaré gauge theory

Abstract

We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for point particles and Fermi fields. A covariant tensor notation is developed in which gauge invariance of the formalism is manifest.