String-Inspired Gravity Coupled to Yang-Mills Fields

TL;DR

This paper explores string-inspired 1+1-dimensional gravity coupled with Yang-Mills fields using a gauge-theoretical approach, analyzing classical and quantum aspects and identifying wave functionals that satisfy the constraints.

Contribution

It introduces a family of models based on extended Poincaré symmetry, examining their classical and quantum properties, and constructs explicit wave functionals solving the constraints.

Findings

Identification of wave functionals satisfying quantum constraints

Analysis of classical and quantum properties of the models

Development of a family of coupled gravity-Yang-Mills models

Abstract

String-inspired 1+1-dimensional gravity is coupled to Yang-Mills fields in the Cangemi-Jackiw gauge-theoretical formulation, based on the extended Poincar\'e group. A family of couplings, which involves metrics obtainable from the physical metric with a conformal rescaling, is considered, and the resulting family of models is investigated both at the classical and the quantum level. In particular, also using a series of Kirillov-Kostant phases, the wave functionals that solve the constraints are identified.