Black Hole Entropy in Induced Gravity: Reduction to 2D Quantum Field Theory on the Horizon

TL;DR

This paper demonstrates that black hole entropy in induced gravity can be understood through a two-dimensional quantum field theory on the horizon, providing a simplified and unified description of the degrees of freedom responsible.

Contribution

It shows that black hole entropy in induced gravity models reduces to a 2D quantum field theory on the horizon, covering scalar, spinor, and vector fields.

Findings

Entropy is described by 2D quantum field theory on the horizon.

The result applies to models with scalar, spinor, and vector constituents.

The approach simplifies understanding of black hole entropy in induced gravity.

Abstract

It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is proved for a class of induced gravity models with scalar, spinor and vector heavy constituents.