Free fields via canonical transformations of matter-coupled 2D dilaton gravity models

TL;DR

This paper demonstrates that certain 2D dilaton gravity models coupled with matter can be transformed into free string theories, enabling their consistent quantization in the functional Schrödinger framework.

Contribution

It introduces canonical transformations that map matter-coupled 2D dilaton gravity models to free string theories, extending quantization methods to these models.

Findings

Models are equivalent to free string theories on flat space.

Enables consistent quantization in the functional Schrödinger representation.

Generalizes previous results on CGHS theory.

Abstract

It is shown that the 1+1-dimensional matter-coupled Jackiw-Teitelboim model and the model with an exponential potential can be converted by means of appropriate canonical transformations into a bosonic string theory propagating on a flat target space with an indefinite signature. This makes it possible to consistently quantize these models in the functional Schroedinger representation thus generalizing recent results on CGHS theory.