Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Julián Barragán Amado; Bruno Carneiro da Cunha; Elisabetta Pallante

doi:10.1007/JHEP04(2020)155

Vector perturbations of Kerr-AdS₅ and the Painlevé VI transcendent

Julián Barragán Amado, Bruno Carneiro da Cunha^*, Elisabetta Pallante

^*Corresponding author for this work

High-Energy Frontier

Research output: Contribution to journal › Article › Academic › peer-review

15 Citations (Scopus)

41 Downloads (Pure)

Abstract

We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.

Original language	English
Article number	155
Number of pages	23
Journal	Journal of High Energy Physics
Volume	2020
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2020)155
Publication status	Published - 1-Apr-2020

Keywords

Black Holes
Black Holes in String Theory
Integrable Hierarchies

Access to Document

10.1007/JHEP04(2020)155Licence: CC BY

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendentFinal publisher's version, 438 KBLicence: CC BY

Handle.net

Persistent link

Cite this

@article{bd11f7a6284740af8f6b91ac0a34ed48,

title = "Vector perturbations of Kerr-AdS5 and the Painlev{\'e} VI transcendent",

abstract = "We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlev{\'e} VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.",

keywords = "Black Holes, Black Holes in String Theory, Integrable Hierarchies",

author = "Amado, {Juli{\'a}n Barrag{\'a}n} and {da Cunha}, {Bruno Carneiro} and Elisabetta Pallante",

note = "Funding Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2020",

month = apr,

day = "1",

doi = "10.1007/JHEP04(2020)155",

language = "English",

volume = "2020",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

AU - Amado, Julián Barragán

AU - da Cunha, Bruno Carneiro

AU - Pallante, Elisabetta

N1 - Funding Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited Publisher Copyright: © 2020, The Author(s).

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.

AB - We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.

KW - Black Holes

KW - Black Holes in String Theory

KW - Integrable Hierarchies

UR - http://www.scopus.com/inward/record.url?scp=85083833945&partnerID=8YFLogxK

U2 - 10.1007/JHEP04(2020)155

DO - 10.1007/JHEP04(2020)155

M3 - Article

AN - SCOPUS:85083833945

SN - 1126-6708

VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 4

M1 - 155

ER -