Exact Solutions to the Wheeler-DeWitt Equation of Two Dimensional Dilaton Gravity

TL;DR

This paper derives explicit exact solutions to the Wheeler-DeWitt equation in two-dimensional dilaton gravity with matter fields, providing a functional form that includes arbitrary holomorphic functions.

Contribution

It presents the first explicit solutions to the Wheeler-DeWitt equation in this specific two-dimensional dilaton gravity model with matter.

Findings

Exact solutions expressed in functional form

Solutions include arbitrary holomorphic functions of matter fields

Advances understanding of quantum gravity in 2D models

Abstract

The two dimensional dilaton gravity with the cosmological term and with an even number of matter fields minimally coupled to the gravity is considered. The exact solutions to the Wheeler-DeWitt equation are obtained in an explicit functional form, which contain an arbitrary holomorphic function of the matter fields.