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Related papers: Higher spin partition functions via the quasinorma…

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We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

The quasinormal modes (QNMs) of Dirac field perturbations of a Reissner-Nordstr\"om black hole in an asymptotically Anti-de Sitter spacetime are investigated. We find that both the real and imaginary parts of the fundamental quasinormal…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jiliang Jing , Qiyuan Pan

We compute the one-loop free energies of the type-A$_\ell$ and type-B$_\ell$ higher-spin gravities in $(d+1)$-dimensional anti-de Sitter (AdS$_{d+1}$) spacetime. For large $d$ and $\ell$, these theories have a complicated field content, and…

High Energy Physics - Theory · Physics 2018-08-23 Thomas Basile , Euihun Joung , Shailesh Lal , Wenliang Li

Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed in analytic form as eigenvalues of the P\"oschl-Teller wavelike equation. We show that…

General Relativity and Quantum Cosmology · Physics 2022-04-07 M. S. Churilova , R. A. Konoplya , A. Zhidenko

We establish a Bohr-Sommerfeld type condition for quasi-normal modes of a slowly rotating Kerr-de Sitter black hole, providing their full asymptotic description in any strip of fixed width. In particular, we observe a Zeeman-like splitting…

Analysis of PDEs · Mathematics 2012-01-13 Semyon Dyatlov

We construct the higher spin wave functions in the embedding space of anti-de Sitter Lorentzian spacetime. These wave functions are built from a primary wave functions that has a simple structure expressed in terms of the special conformal…

High Energy Physics - Theory · Physics 2025-11-21 David Berenstein , Ziyi Li

We continue the study of the one-loop partition function of AdS$_3$ gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly…

High Energy Physics - Theory · Physics 2022-01-05 Joel Acosta , Alan Garbarz , Andres Goya , Mauricio Leston

We introduce a rigorous framework for defining quasinormal modes on stationary, asymptotically flat spacetimes as isolated eigenvalues of the infinitesimal generator of time translations. We consider time functions corresponding to a…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Dejan Gajic , Claude M. Warnick

We consider the quasilocal thermodynamics of rotating black holes in asymptotically flat and asymptotically anti de Sitter spacetimes. Using the minimal number of intrinsic boundary counterterms inspired by the AdS/CFT correspondence, we…

High Energy Physics - Theory · Physics 2009-11-07 M. H. Dehghani , R. B. Mann

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter…

High Energy Physics - Theory · Physics 2025-03-13 Thomas Hertog , Gabriele Tartaglino-Mazzucchelli , Thomas Van Riet , Victoria Venken

We investigate the quasinormal mode frequencies for the massless Dirac field in static four dimensional $AdS$ space-time. The separation of the Dirac equation is achieved for the first time in $AdS$ space. Besides the relevance that this…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Giammatteo , Jiliang Jing

In this work we analytically obtain the quasinormal spectrum for the gravitational perturbation on a higher-dimensional generalization of the Nariai spacetime that is comprised of the direct product of the two-dimensional de Sitter space…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Carlos Batista , Joás Venâncio

While $(2+1)$-dimensional black holes in the Einstein theory allow for only the anti-de Sitter asymptotic, when the higher curvature correction is tuned on, the asymptotically flat, de Sitter and anti-de Sitter cases are included. Here we…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Milena Skvortsova

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

The electromagnetic and gravitational quasinormal spectra of $(3+1)$-dimensional plane-symmetric anti-de Sitter black holes are analyzed in the context of the AdS/CFT correspondence. According to such a correspondence, the electromagnetic…

High Energy Physics - Theory · Physics 2008-12-18 Alex S. Miranda , Jaqueline Morgan , Vilson T. Zanchin

We revisit the subject of one-loop determinants in AdS$_3$ gravity via the quasinormal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing…

High Energy Physics - Theory · Physics 2017-11-22 Alejandra Castro , Cynthia Keeler , Phillip Szepietowski

We compute the canonical partition function of 2+1 dimensional de Sitter space using the Euclidean $SU(2)\times SU(2)$ Chern-Simons formulation of 3d gravity with a positive cosmological constant. Firstly, we point out that one can work…

High Energy Physics - Theory · Physics 2009-10-31 Maximo Banados , Thorsten Brotz , Miguel Ortiz

We analytically investigate the spin-1 quasinormal mode frequencies of Schwarzschild black hole space-time. We formally determine these frequencies to arbitrary order as an expansion for large imaginary part (i.e., large-n, where n is the…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Marc Casals , Adrian C. Ottewill

Quasinormal modes are eigenmodes of dissipative systems. For instance, if a spacetime with an event or cosmological horizon is perturbed from its equilibrium state, quasinormal modes arise as damped oscillations with a spectrum of complex…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Joás Venâncio

We construct a simple algorithm to derive number density of spin 1/2 particles created in spatially flat FLRW spacetimes and resulting renormalized energy-momentum tensor within the framework of adiabatic regularization. Physical quantities…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Suman Ghosh