Dual Brane Pairs, Chains and the Bekenstein-Hawking Entropy

TL;DR

This paper proposes a microscopic model for black hole entropy in four-dimensional spacetimes using Euclidean D-branes and chain-like excitations, successfully reproducing the Bekenstein-Hawking entropy without relying on supersymmetry.

Contribution

It introduces a discretized Euclidean D-brane worldvolume approach to count chain-like excitations, providing a non-supersymmetric derivation of black hole entropy.

Findings

Reproduces Bekenstein-Hawking entropy for D=4 black holes

Accounts for logarithmic corrections to entropy

Demonstrates a non-supersymmetric microscopic model

Abstract

A proposal towards a microscopic understanding of the Bekenstein-Hawking entropy for D=4 spacetimes with event horizon is made. Since we will not rely on supersymmetry these spacetimes need not be supersymmetric. Euclidean D-branes which wrap the event horizon's boundary will play an important role. After arguing for a discretization of the Euclidean D-brane worldvolume based on the worldvolume uncertainty relation, we count chainlike excitations on the worldvolume of specific dual Euclidean brane pairs. Without the need for supersymmetry it is shown that one can thus reproduce the D=4 Bekenstein-Hawking entropy and its logarithmic correction.