Counterexamples to the correlated stability conjecture

Joshua J. Friess, Steven S. Gubser, Indrajit Mitra

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28 Scopus citations


We demonstrate explicit counterexamples 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.

Original languageEnglish (US)
Article number104019
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - Nov 15 2005

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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