Poincaré Gauge Theory for Gravitational Forces in (1+1) Dimensions

Daniel Cangemi, Roman Jackiw

Published 1993-02-08Version 1

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.