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Recently it has been shown that the wave equations of bosonic higher spin fields in the BTZ background can be solved exactly. In this work we extend this analysis to fermionic higher spin fields. We solve the wave equations for arbitrary…

High Energy Physics - Theory · Physics 2015-06-04 Shouvik Datta , Justin R. David

We compute the path integral for a particle on the covering group of SL(2,R) using a decomposition of the Lie algebra into adjoint orbits. We thus intuitively derive the Hilbert space of the particle on the group including discrete and…

High Energy Physics - Theory · Physics 2022-10-19 Sujay K. Ashok , Jan Troost

We show that, for any $d\geq 3$, the one-loop graviton path integral on $S^2\times S^{d-1}$ factorizes into bulk and edge parts. The bulk equals the thermal partition function of an ideal graviton gas in the Lorentzian Nariai geometry. The…

High Energy Physics - Theory · Physics 2026-04-15 Y. T. Albert Law , Varun Lochab

Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles…

High Energy Physics - Theory · Physics 2022-02-22 Dionysios Anninos , Frederik Denef , Y. T. Albert Law , Zimo Sun

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…

High Energy Physics - Theory · Physics 2022-09-07 Donald Marolf , Jorge E. Santos

The Euclidean path integral approach to quantum gravity is conventionally formulated in terms of the Einstein-Hilbert-York-Gibbons-Hawking action, which requires suitable subtractions to produce the correct black hole partition function.…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Jose Beltrán Jiménez , Tomi S. Koivisto

An Euclidean approach for investigating quantum aspects of a scalar field living on a class of D-dimensional static black hole space-times, including the extremal ones, is reviewed. The method makes use of a near horizon approximation of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniele Binosi , Sergio Zerbini

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…

High Energy Physics - Theory · Physics 2015-05-30 Per Kraus , Eric Perlmutter

We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Sam R. Dolan , Adrian C. Ottewill

We investigate the connection between thermodynamic phase transitions and quasi-normal modes (QNMs) in charged black holes with a positive curvature constant, within the framework of $F(R)$-Euler-Heisenberg gravity. Nonlinear…

High Energy Physics - Theory · Physics 2026-01-13 Zi-Yu Hou , Yu-Qi Lei , Xian-Hui Ge

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj

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…

High Energy Physics - Theory · Physics 2022-08-10 Donald Marolf

We calculate the tree-level partition function of Euclidean BTZ black hole with the end of the world branes (ETW branes) for arbitrary tension and the one-loop partition function of Euclidean thermal $AdS_{3}$ in the presence of a…

High Energy Physics - Theory · Physics 2025-03-25 Yu-ki Suzuki

We consider the Hamiltonian dynamics and thermodynamics of spherically symmetric spacetimes within a one-parameter family of five-dimensional Lovelock theories. We adopt boundary conditions that make every classical solution part of a black…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jorma Louko , Jonathan Z. Simon , Stephen N. Winters-Hilt

The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild-anti-de Sitter (SAdS) black hole is investigated by using Horowitz-Hubeny approach. We find that both the real and the imaginary parts…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiliang Jing

We study perturbations of Schwarzschild-de Sitter black holes in semi-open systems by using the Heun functions. For the semi-open system, a partially reflective wall is added around the event horizon. Three aspects of this model are…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Liang-Bi Wu , Libo Xie , Li-Ming Cao , Ming-Fei Ji , Yu-Sen Zhou

Recently is was shown that the imaginary part of the canonical partition function of Schwarzschild black holes with an energy spectrum E_n = \sigma \sqrt{n} E_P, n= 1,2, ..., has properties which - naively interpreted - leads to the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 H. A. Kastrup

The Euclidean Nariai geometry has long been proposed as the instanton describing the nucleation of maximal-mass black holes in de Sitter space. We place this interpretation on firmer footing by showing that, once an observer is included,…

High Energy Physics - Theory · Physics 2026-05-14 Xiaoyi Shi , Gustavo J. Turiaci , Chih-Hung Wu

While independent observations have been made regarding the behaviour of effective quasinormal mode (QNM) potentials within the large angular momentum limit, we demonstrate analytically here that a uniform expression emerges for…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Chun-Hung Chen , Hing-Tong Cho , Anna Chrysostomou , Alan S. Cornell

We study electrically charged, slowly rotating black hole solutions in Einstein-Bumblebee gravity coupled to the traceless (conformal) ModMax nonlinear electrodynamics. By adopting a quadratic bumblebee potential that fixes the vacuum…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yassine Sekhmani , Wentao Liu , Weike Deng , Kuantay Boshkayev