Generalized 2d dilaton gravity with matter fields

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.

37 pages, Latex; typos and Eqs. (44,45) corrected; paragraph on p. 26, referring to a work of S. Solodukhin, reformulated; references added

References in corpus (5)

• String Model with Dynamical Geometry and Torsion
• Quantum gravity effects in the CGHS model of collapse to a black hole
• A Solvable Model of Two-Dimensional Dilaton-Gravity Coupled to a Massless Scalar Field
• Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors
• Black Holes and Two-Dimensional Dilaton Gravity

Cited by in corpus (14)

• Dilaton Gravity in Two Dimensions
• Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity
• The virtual black hole in 2d quantum gravity
• Gravity from Lie algebroid morphisms
• Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model
• Ramifications of Lineland
• Effective action for scalar fields in two-dimensional gravity
• AdS_2 and quantum stability in the CGHS model
• Dynamical N-body Equlibrium in Circular Dilaton Gravity
• Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity
• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes
• Second Law of Black Hole Mechanics for all 2d Dilaton Theories
• Ghost-free infinite-derivative dilaton gravity in two dimensions