Microcanonical Phases of String Theory on AdS_m x S^n

TL;DR

This paper investigates phase transitions in string theory on AdS_m x S^n, resolving a puzzle about black hole solutions and their localization, with implications for dual field theories and multi-black hole configurations.

Contribution

It provides a resolution to the puzzle of phase transitions between extended and localized black hole solutions in AdS_m x S^n, enhancing understanding of their dual field theories.

Findings

Resolved the puzzle of phase transition nature in AdS_m x S^n

Analyzed implications for dual m-1 dimensional field theories

Discussed multi-black hole solutions in AdS space

Abstract

Banks, Douglas, Horowitz and Martinec [hep-th/9808016] recently argued that in the microcanonical ensemble for string theory on AdS_m xS^n, there is a phase transition between a black hole solution extended over the S^n and a solution localized on the S^n. If we think of this AdS_m x S^n geometry as arising from the near-horizon limit of a black m-2 brane, the existence of this phase transition is puzzling. We present a resolution of this puzzle, and discuss its significance from the point of view of the dual m-1 dimensional field theory. We also discuss multi-black hole solutions in AdS.