Two-dimensional black holes in a higher derivative gravity and matrix model

Kwangho Hur; Seungjoon Hyun; Hongbin Kim; Sang Heon Yi

doi:10.1016/j.nuclphysb.2007.10.018

Two-dimensional black holes in a higher derivative gravity and matrix model

Kwangho Hur, Seungjoon Hyun, Hongbin Kim, Sang Heon Yi

Department of Physics

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

1 Citation (Scopus)

Abstract

We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS₂ geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solutions using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α^′ corrections in the leading order.

Original language	English
Pages (from-to)	28-45
Number of pages	18
Journal	Nuclear Physics B
Volume	794
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2007.10.018
Publication status	Published - 2008 May 1

Bibliographical note

Funding Information:
K. Hur was supported by the Basic Research Program of the Korea Science and Engineering Foundation under grant number R01-2004-000-10651-0. The work of S. Hyun was supported by the Science Research Center Program of the Korea Science and Engineering Foundation through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021. S. Hyun, H. Kim and S.-H. Yi were supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (KRF-2005-070-C00030).

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2007.10.018

Cite this

@article{d8ad3604e93b4112a542a0f1db491970,

title = "Two-dimensional black holes in a higher derivative gravity and matrix model",

abstract = "We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS2 geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solutions using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α′ corrections in the leading order.",

author = "Kwangho Hur and Seungjoon Hyun and Hongbin Kim and Yi, {Sang Heon}",

note = "Funding Information: K. Hur was supported by the Basic Research Program of the Korea Science and Engineering Foundation under grant number R01-2004-000-10651-0. The work of S. Hyun was supported by the Science Research Center Program of the Korea Science and Engineering Foundation through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021. S. Hyun, H. Kim and S.-H. Yi were supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (KRF-2005-070-C00030). ",

year = "2008",

month = may,

day = "1",

doi = "10.1016/j.nuclphysb.2007.10.018",

language = "English",

volume = "794",

pages = "28--45",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Two-dimensional black holes in a higher derivative gravity and matrix model

AU - Hur, Kwangho

AU - Hyun, Seungjoon

AU - Kim, Hongbin

AU - Yi, Sang Heon

N1 - Funding Information: K. Hur was supported by the Basic Research Program of the Korea Science and Engineering Foundation under grant number R01-2004-000-10651-0. The work of S. Hyun was supported by the Science Research Center Program of the Korea Science and Engineering Foundation through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021. S. Hyun, H. Kim and S.-H. Yi were supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (KRF-2005-070-C00030).

PY - 2008/5/1

Y1 - 2008/5/1

N2 - We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS2 geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solutions using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α′ corrections in the leading order.

AB - We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS2 geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solutions using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α′ corrections in the leading order.

UR - http://www.scopus.com/inward/record.url?scp=38649103805&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38649103805&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.10.018

DO - 10.1016/j.nuclphysb.2007.10.018

M3 - Article

AN - SCOPUS:38649103805

VL - 794

SP - 28

EP - 45

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -

Two-dimensional black holes in a higher derivative gravity and matrix model

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this