A Lorentzian path integral contour for charged AdS black holes selects a finite subset of complex saddles via Picard-Lefschetz theory, ensuring the semiclassical sum converges at finite β.
Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
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abstract
The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated, remains double valued. This allows the correspondence between non-existence of negative modes for classical solutions and local thermodynamic stability of the equilibrium configuration of such solutions to be shown in a well defined manner. This is not possible in the asymptotically flat case. Furthermore, the non-existence of negative modes for the larger black hole solution in Schwarzschild-anti-de Sitter provides strong evidence in favour of the recent positive energy conjecture by Horowitz and Myers.
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hep-th 2years
2026 2representative citing papers
The universal logarithmic temperature dependence in near-extremal black hole thermodynamics originates from the first-order lifting of Lichnerowicz tensor zero modes in a 2D maximally symmetric throat, which after normalization projects to the Schwarzian sector independently of parent geometry detai
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How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral
A Lorentzian path integral contour for charged AdS black holes selects a finite subset of complex saddles via Picard-Lefschetz theory, ensuring the semiclassical sum converges at finite β.
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Universal Lichnerowicz Lifting of Near-Horizon Soft Modes
The universal logarithmic temperature dependence in near-extremal black hole thermodynamics originates from the first-order lifting of Lichnerowicz tensor zero modes in a 2D maximally symmetric throat, which after normalization projects to the Schwarzian sector independently of parent geometry detai