Liouville theory on a horizon: point particle/scalar field duality and Page-like curve

TL;DR

This paper explores a duality between point particles and scalar fields in Liouville theory, recovering black hole entropy and proposing quantum corrections to Hawking radiation that suggest a Page-like information retrieval process.

Contribution

It introduces a duality framework linking particles and scalar fields, and demonstrates how this approach reproduces black hole entropy and modifies Hawking radiation.

Findings

Duality between point particles and scalar propagators

Recovery of black hole entropy in quantum gravity context

Quantum correction to Hawking radiation and Page-like curve

Abstract

We show that the consequences of a recent paper on quantum gravity are 1) a duality between point particles and massive scalar propagators, 2) the recovery of the entropy of a boundary (a black hole) in the same form as that of the EFT approach to Quantum Gravity and 3) a quantum correction to Hawking radiations and a Page-like curve. In this recent paper, information about what lies inside a boundary is encoded onto it, meaning that in this approach the information directly leaks from the horizon to the bulk in the form of Hawking radiations.