Computing Black Hole entropy in Loop Quantum Gravity from a Conformal Field Theory perspective

TL;DR

This paper proposes a novel approach to calculating black hole entropy within Loop Quantum Gravity by leveraging Conformal Field Theory, highlighting a promising link between these frameworks.

Contribution

It introduces a new method connecting Conformal Field Theory with black hole entropy calculations in Loop Quantum Gravity, inspired by Witten's analogy.

Findings

Consistent entropy results support the proposed approach.

Establishes a link between Chern-Simons and Conformal Field Theories in black hole physics.

Suggests a new pathway for understanding quantum aspects of black holes.

Abstract

Motivated by the analogy proposed by Witten between Chern-Simons and Conformal Field Theories, we explore an alternative way of computing the entropy of a black hole starting from the isolated horizon framework in Loop Quantum Gravity. The consistency of the result opens a window for the interplay between Conformal Field Theory and the description of black holes in Loop Quantum Gravity.