Generalized 2d dilaton gravity with matter fields

TL;DR

This paper generalizes 2d dilaton gravity models by including matter fields and provides complete solutions for the most general dilaton-dependent actions coupled to chiral fermions, expanding the scope of integrable models.

Contribution

It extends classical integrability of the CGHS model to more general dilaton gravity models with matter fields and offers complete solutions for these complex systems.

Findings

Extended integrability to a broader class of 2d dilaton gravity models.

Provided complete solutions for models with fermions and gauge fields.

Generalized solutions to include non-abelian gauge symmetry and self-dual scalar sectors.

Abstract

We extend the classical integrability of the CGHS model of 2d dilaton gravity [1] to a larger class of models, allowing the gravitational part of the action to depend more generally on the dilaton field and, simultaneously, adding fermion- and U(1)-gauge-fields to the scalar matter. On the other hand we provide the complete solution of the most general dilaton-dependent 2d gravity action coupled to chiral fermions. The latter analysis is generalized to a chiral fermion multiplet with a non-abelian gauge symmetry as well as to the (anti-)self-dual sector df = *df (df = -*df) of a scalar field f.