Black Holes and the Super Yang-Mills diagram. II

TL;DR

This paper explores the phase structure of M-theory objects on tori, revealing phase transitions like Gregory-Laflamme and Horowitz-Polchinski points, and clarifies the relationship between matrix and Maldacena conjectures.

Contribution

It provides a detailed phase diagram of M-theory compactified on tori and connects matrix conjecture to the broader Maldacena conjecture.

Findings

Identification of phase transitions in M-theory compactifications

Clarification of the relationship between matrix and Maldacena conjectures

Mapping of near-horizon geometries to asymptotic regimes

Abstract

The complete phase diagram of objects in M-theory compactified on tori $T^p$, $p=1,2,3$, is elaborated. Phase transitions occur when the object localizes on cycle(s) (the Gregory-Laflamme transition), or when the area of the localized part of the horizon becomes one in string units (the Horowitz-Polchinski correspondence point). The low-energy, near-horizon geometry that governs a given phase can match onto a variety of asymptotic regimes. The analysis makes it clear that the matrix conjecture is a special case of the Maldacena conjecture.