Exact Quantum States for all Two-Dimensional Dilaton Gravity Theories

TL;DR

This paper demonstrates the equivalence of different quantum state representations in two-dimensional dilaton gravity, providing a unified understanding of quantum states across various variable choices.

Contribution

It introduces a third representation of exact quantum states, unifying previous formulations in geometrical and CJZ variables for 2d dilaton gravity.

Findings

Quantum wave functionals in CJZ variables are equivalent to those in geometrical variables.

A new third representation of the exact quantum states is presented.

The work enhances the understanding of quantum states in 2d dilaton gravity.

Abstract

It is shown that the recently obtained quantum wave functionals in terms of the CJZ variables for generic 2d dilaton gravity are equivalent to the previously reported exact quantum wave functionals in geometrical variables. A third representation of these exact quantum states is also presented.