Counter-examples to the correlated stability conjecture

Abstract

We demonstrate explicit counter-examples to the Correlated Stability Conjecture (CSC), which claims that the horizon of a black brane is unstable precisely if that horizon has a thermodynamic instability, meaning that its matrix of susceptibilities has a negative eigenvalue. These examples involve phase transitions near the horizon. Ways to restrict or revise the CSC are suggested. One of our examples shows that N=1* gauge theory has a second order chiral symmetry breaking phase transition at a temperature well above the confinement scale.

18 pages, 5 figures. v2: minor improvements, reference added

References in corpus (3)

• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Smeared D0 charge and the Gubser-Mitra conjecture

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