Schwarzschild Black Holes in Various Dimensions from Matrix Theory

TL;DR

This paper extends the understanding of Schwarzschild black holes across various dimensions using Matrix theory, successfully deriving mass-entropy relations in different dimensional settings.

Contribution

It generalizes previous results by analyzing compactifications on tori of arbitrary dimension, providing insights into black hole properties in diverse dimensional frameworks.

Findings

Correct mass-entropy scaling for Schwarzschild black holes in (11-d) dimensions

Extension of Matrix theory descriptions to various compactification dimensions

Hints from D-brane applications support the theoretical results

Abstract

In a recent paper it was shown that the properties of Schwarzschild black holes in 8 dimensions are correctly described up to factors of order unity by Matrix theory compactified on T^3. Here we consider compactifications on tori of general dimension d. Although in general little is known about the relevant d+1 dimensional theories on the dual tori, there are hints from their application to near-extreme parallel Dirichlet d-branes. Using these hints we get the correct mass-entropy scaling for Schwarzschild black holes in (11-d) dimensions.