Black holes and the phases of brane thermodynamics

TL;DR

This paper explores the relationship between black hole thermodynamics and gauge theories on branes, discussing key concepts like the Horowitz-Polchinski correspondence, AdS/CFT, and matrix theory to understand phase transitions.

Contribution

It provides an overview of the connections between black hole physics and brane gauge theories, highlighting the thermodynamic phases and their theoretical implications.

Findings

Relation between black hole phases and gauge theory thermodynamics

Insights into the AdS/CFT correspondence and phase structure

Discussion of the Horowitz-Polchinski correspondence principle

Abstract

Introductory lectures on the relations between the thermodynamics of gauge theory on branes and black holes, including the correspondence principle of Horowitz and Polchinski, the AdS/CFT conjecture, and matrix theory.