Multicritical Phase Transitions in Multiply Rotating Black Holes

Abstract

We show that multi-critical points in which more than three phases coalesce are present in multiply rotating Kerr-AdS black holes in $d$-dimensions. We explicitly present a quadruple point for a triply rotating black hole in $d=8$ and a quintuple point for a quadruply rotating black hole in $d=10$. The maximal number of distinct phases $n$ is one larger than the maximal number of independent rotations, and we outline a method for obtaining the associated $n$-tuple point. Situations also exist where more than three phases merge at sub-maximal multi-critical points. Our results show that multi-critical points in black hole thermodynamics are more common than previously thought, with systems potentially supporting many phases as long as a sufficient number of thermodynamic variables are present.

Latex, 5 pages, 5 figures

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• Black holes thermodynamics with CFT re-scaling
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Generalized holographic complexity of rotating black holes
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions