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In this paper, we consider the Euclidean partition function of uncharged and charged $AdS_{d+1}$ black hole geometries in canonical and grand canonical ensemble for $d\geq3$. It is seen that the partition function can be reduced to a…

高能物理 - 理论 · 物理学 2026-02-12 Manishankar Ailiga , Shubhashis Mallik , Gaurav Narain

It has previously been shown how the gravitational thermal partition function can be obtained from a Lorentzian path integral. Unlike the Euclidean case, the integration contour over Lorentzian metrics is not immediately ruled out by the…

高能物理 - 理论 · 物理学 2025-07-22 Hong Zhe Chen

We reconsider black hole solutions of D = 3 higher-spin gravity in the $hs[\lambda]\oplus hs[\lambda]$ Chern-Simons formulation. A suitable generalisation of the BTZ black hole has a spin-3 chemical potential $\alpha$, and non-zero values…

高能物理 - 理论 · 物理学 2015-06-17 Matteo Beccaria , Guido Macorini

We consider the $AdS_{3}/CFT_{2}$ duality between certain coset WZW theories at large central charge and Vasiliev 3D higher spin gravity with a single complex field. On the gravity side, we discuss a higher spin black hole solution with…

高能物理 - 理论 · 物理学 2015-06-18 Matteo Beccaria , Guido Macorini

Thermal partition functions for gravitational systems have traditionally been studied using Euclidean path integrals. But in Euclidean signature the gravitational action suffers from the conformal factor problem, which renders the action…

高能物理 - 理论 · 物理学 2022-08-10 Donald Marolf

We extend a formula for 1-loop black hole determinants by Denef, Hartnoll, and Sachdev (DHS) to spinning fields on any $(d+1)$-dimensional static spherically symmetric black hole. By carefully analyzing the regularity condition imposed on…

高能物理 - 理论 · 物理学 2023-06-08 Manvir Grewal , Y. T. Albert Law , Klaas Parmentier

The path integral approach to a quantum theory of gravity is widely regarded as an indispensable strategy. However, determining what additional elements, beyond black hole or AdS spacetime, should be incorporated into the path integral…

广义相对论与量子宇宙学 · 物理学 2025-04-07 Peng Cheng , Yu-Xiao Liu , Shao-Wen Wei

We revisit the stability of black hole saddles for the Euclidean path integral describing the canonical partition function $Z(\beta)$ for gravity inside a spherical reflecting cavity. The boundary condition at the cavity wall couples the…

高能物理 - 理论 · 物理学 2022-09-07 Donald Marolf , Jorge E. Santos

In this paper we describe 4-dimensional gravity coupled to scalar and Maxwell fields by the Einstein-Katz action, that is, the covariant version of the "Gamma-Gamma $-$ Gamma-Gamma" part of the Hilbert action supplemented by the divergence…

广义相对论与量子宇宙学 · 物理学 2016-08-24 Andrés Anabalón , Nathalie Deruelle , Félix-Louis Julié

We construct the rank-$n$ finite temperature logarithmic conformal field theory (LCFT) starting from the $n$-coupled scalar field theory in the BTZ black hole background. Its zero temperature limit reduces to a rank-$n$ LCFT in the AdS$_3$…

高能物理 - 理论 · 物理学 2013-05-30 Taeyoon Moon , Yun Soo Myung

We numerically integrate the semiclassical equations of motion for spherically symmetric Einstein-Maxwell theory with a dilaton coupled scalar field and look for zero temperature configurations. The solution we find is studied in detail…

高能物理 - 理论 · 物理学 2010-11-19 C. Barbachoux , A. Fabbri

While studying supersymmetric $G$-gauge theories, one often observes that a zero-radius limit of the twisted partition function $\Omega^G$ is computed by the partition function ${\cal Z}^G$ in one less dimensions. We show that this type of…

高能物理 - 理论 · 物理学 2017-06-14 Chiung Hwang , Piljin Yi

We consider the five-dimensional supergravity path integral that computes a supersymmetric index, and uncover a wealth of semiclassical saddles with bubbling topology. These are complex finite-temperature configurations asymptotic to…

高能物理 - 理论 · 物理学 2025-11-25 Davide Cassani , Alejandro Ruipérez , Enrico Turetta

In this work we define a new limiting procedure that extends the usual thermodynamics treatment of Black Hole physics, to the supersymmetric regime. This procedure is inspired on equivalent statistical mechanics derivations in the dual CFT…

高能物理 - 理论 · 物理学 2009-11-11 Pedro J. Silva

A new approach to black hole thermodynamics is proposed in Loop Quantum Gravity (LQG), by defining a new black hole partition function, followed by analytic continuations of Barbero-Immirzi parameter to $\gamma\in i\mathbb{R}$ and…

广义相对论与量子宇宙学 · 物理学 2014-02-11 Muxin Han

The partition function of the random energy model at inverse temperature $\beta$ is a sum of random exponentials $Z_N(\beta)=\sum_{k=1}^N \exp(\beta \sqrt{n} X_k)$, where $X_1,X_2,...$ are independent real standard normal random variables…

概率论 · 数学 2014-02-11 Zakhar Kabluchko , Anton Klimovsky

We compute the one-loop contribution to the semiclassical partition function of near-extremal, asymptotically AdS black holes in five-dimensional Einstein-Gauss-Bonnet gravity. In the absence of an exact analytic rotating solution at finite…

The Einstein-Maxwell-scalar (EMS) theory with a quartic coupling function features three branches of fundamental black hole (BH) solutions, labeled as cold, hot, and bald black holes. The static bald black holes (the Reissner-Nordstr\"om…

广义相对论与量子宇宙学 · 物理学 2024-01-25 Wei Xiong , Cheng-Yong Zhang , Peng-Cheng Li

We study the thermodynamics of $AdS_4$ black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be…

高能物理 - 理论 · 物理学 2021-11-03 Davide Cassani , Jerome P. Gauntlett , Dario Martelli , James Sparks

We find black hole solutions of D=3 higher-spin gravity in the hs[\lambda] + hs[\lambda] Chern-Simons formulation. These solutions have a spin-3 chemical potential, and carry nonzero values for an infinite number of charges of the…

高能物理 - 理论 · 物理学 2015-05-30 Per Kraus , Eric Perlmutter
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