We discuss possible non-chiral extension of the Kerr/CFT correspondence. We
first consider the near horizon geometry of an extremal BTZ black hole and
study the asymptotic symmetry. In order to define it properly, we introduce a
regularization and show that the asymptotic symmetry becomes the desirable
non-chiral Virasoro symmetry with the same central charges for both left and
right sectors, which are independent of the regularization parameter. We then
investigate the non-chiral extension for general extremal black holes in the
zero entropy limit. Since the same geometric structure as above emerges in this
limit, we identify non-chiral Virasoro symmetry by a similar procedure. This
observation supports the existence of a hidden non-chiral CFT\_2 structure with
the same central charges for both left and right sectors dual to the rotating
black holes.
%0 Journal Article
%1 Azeyanagi2011NonChiral
%A Azeyanagi, Tatsuo
%A Ogawa, Noriaki
%A Terashima, Seiji
%D 2011
%K arxiv, kerr-cft
%T On Non-Chiral Extension of Kerr/CFT
%U http://arxiv.org/abs/1102.3423
%X We discuss possible non-chiral extension of the Kerr/CFT correspondence. We
first consider the near horizon geometry of an extremal BTZ black hole and
study the asymptotic symmetry. In order to define it properly, we introduce a
regularization and show that the asymptotic symmetry becomes the desirable
non-chiral Virasoro symmetry with the same central charges for both left and
right sectors, which are independent of the regularization parameter. We then
investigate the non-chiral extension for general extremal black holes in the
zero entropy limit. Since the same geometric structure as above emerges in this
limit, we identify non-chiral Virasoro symmetry by a similar procedure. This
observation supports the existence of a hidden non-chiral CFT\_2 structure with
the same central charges for both left and right sectors dual to the rotating
black holes.
@article{Azeyanagi2011NonChiral,
abstract = {{We discuss possible non-chiral extension of the Kerr/CFT correspondence. We
first consider the near horizon geometry of an extremal BTZ black hole and
study the asymptotic symmetry. In order to define it properly, we introduce a
regularization and show that the asymptotic symmetry becomes the desirable
non-chiral Virasoro symmetry with the same central charges for both left and
right sectors, which are independent of the regularization parameter. We then
investigate the non-chiral extension for general extremal black holes in the
zero entropy limit. Since the same geometric structure as above emerges in this
limit, we identify non-chiral Virasoro symmetry by a similar procedure. This
observation supports the existence of a hidden non-chiral CFT\_2 structure with
the same central charges for both left and right sectors dual to the rotating
black holes.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Azeyanagi, Tatsuo and Ogawa, Noriaki and Terashima, Seiji},
biburl = {https://www.bibsonomy.org/bibtex/2d08bd306b78708261b217a660a03b3b7/acastro},
citeulike-article-id = {8832728},
citeulike-linkout-0 = {http://arxiv.org/abs/1102.3423},
citeulike-linkout-1 = {http://arxiv.org/pdf/1102.3423},
day = 16,
eprint = {1102.3423},
interhash = {c8f9b3cee26fef73a087863ce4f3a26a},
intrahash = {d08bd306b78708261b217a660a03b3b7},
keywords = {arxiv, kerr-cft},
month = feb,
posted-at = {2011-02-17 02:36:25},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{On Non-Chiral Extension of Kerr/CFT}},
url = {http://arxiv.org/abs/1102.3423},
year = 2011
}