Conformal weights in the Kerr/CFT correspondence

Keiju Murata

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the analogous problem in 5d. We consider the most general near-extreme vacuum black hole with two rotational symmetries. This includes Myers-Perry black holes, black rings and Kaluza-Klein black holes. We find that operators dual to gravitational (or electromagnetic or massless scalar field) perturbations preserving both rotational symmetries have integer conformal weights, the same for all black holes considered.

Original languageEnglish
Article number117
JournalJournal of High Energy Physics
Volume2011
Issue number5
DOIs
Publication statusPublished - 2011
Externally publishedYes

Fingerprint

integers
operators
perturbation
symmetry
preserving
electromagnetism
scalars
vacuum
rings

Keywords

  • AdS-CFT correspondence
  • Black holes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Conformal weights in the Kerr/CFT correspondence. / Murata, Keiju.

In: Journal of High Energy Physics, Vol. 2011, No. 5, 117, 2011.

Research output: Contribution to journalArticle

@article{1d38392d780f44c6bb49fa3ed8f604f6,
title = "Conformal weights in the Kerr/CFT correspondence",
abstract = "It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the analogous problem in 5d. We consider the most general near-extreme vacuum black hole with two rotational symmetries. This includes Myers-Perry black holes, black rings and Kaluza-Klein black holes. We find that operators dual to gravitational (or electromagnetic or massless scalar field) perturbations preserving both rotational symmetries have integer conformal weights, the same for all black holes considered.",
keywords = "AdS-CFT correspondence, Black holes",
author = "Keiju Murata",
year = "2011",
doi = "10.1007/JHEP05(2011)117",
language = "English",
volume = "2011",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "5",

}

TY - JOUR

T1 - Conformal weights in the Kerr/CFT correspondence

AU - Murata, Keiju

PY - 2011

Y1 - 2011

N2 - It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the analogous problem in 5d. We consider the most general near-extreme vacuum black hole with two rotational symmetries. This includes Myers-Perry black holes, black rings and Kaluza-Klein black holes. We find that operators dual to gravitational (or electromagnetic or massless scalar field) perturbations preserving both rotational symmetries have integer conformal weights, the same for all black holes considered.

AB - It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the analogous problem in 5d. We consider the most general near-extreme vacuum black hole with two rotational symmetries. This includes Myers-Perry black holes, black rings and Kaluza-Klein black holes. We find that operators dual to gravitational (or electromagnetic or massless scalar field) perturbations preserving both rotational symmetries have integer conformal weights, the same for all black holes considered.

KW - AdS-CFT correspondence

KW - Black holes

UR - http://www.scopus.com/inward/record.url?scp=80053142374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053142374&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2011)117

DO - 10.1007/JHEP05(2011)117

M3 - Article

AN - SCOPUS:80053142374

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 117

ER -