Black Holes and Five-brane Thermodynamics

TL;DR

This paper constructs phase diagrams for Dp-branes in M-theory compactified on various tori, revealing connections to matrix theory and M5-branes, and explores the effects of angular momentum on phase structure.

Contribution

It extends the phase diagram analysis of Dp-branes to new compactifications and relates these to matrix models and M5-branes, including the role of spectral flow.

Findings

High entropy black brane phases connect to matrix theory.

The phase structure depends on angular momentum.

D1-D5 system relates to M5-brane matrix models.

Abstract

The phase diagram for Dp-branes in M-theory compactified on $T^4$, $T^4/Z_2$, $T^5$, and $T^6$ is constructed. As for the lower-dimensional tori considered in our previous work (hep-th/9810224), the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for $T^6$ are reviewed. We also analyze the D1-D5 system on $T^5$; we exhibit its relation to matrix models of M5-branes, and use spectral flow as a tool to investigate the dependence of the phase structure on angular momentum.