A Conformal Affine Toda Model of 2D Black Holes: A Quantum Study of the Evaporation End-Point

TL;DR

This paper reformulates 2D dilaton-gravity as a conformal field theory, quantizes it, and analyzes black hole evaporation end-point using Renormalization Group methods, revealing quantum effects on black hole thermodynamics.

Contribution

It introduces a new quantum conformal field theory model generalizing the $SL_2$-conformal affine Toda theory for 2D black holes, incorporating quantum effects into evaporation analysis.

Findings

Quantum effects influence black hole thermodynamics.

The model provides insights into the evaporation end-point.

Renormalization Group analysis reveals the final state characteristics.

Abstract

In this paper we reformulate the dilaton-gravity theory of Callan \etal\ as a new effective conformal field theory which turns out to be a generalization of the so-called $SL_2$-conformal affine Toda (CAT) theory studied some times ago by Babelon and Bonora. We quantize this model, thus keeping in account the dilaton-gravity quantum effects. We then implement a Renormalization Group analysis to study the black hole thermodynamics and the final state of the Hawking evaporation.