Hyperbolicity of partition function and quantum gravity

Kazuhiro Hikami

doi:10.1016/S0550-3213(01)00464-3

Hyperbolicity of partition function and quantum gravity

Kazuhiro Hikami

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

10 Citations (Scopus)

Abstract

We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or the Euclidean AdS₃ naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string.

Original language	English
Pages (from-to)	537-548
Number of pages	12
Journal	Nuclear Physics B
Volume	616
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(01)00464-3
Publication status	Published - Nov 26 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/S0550-3213(01)00464-3

Cite this

@article{e4ec9a9b77ec48e696f31635db658af3,

title = "Hyperbolicity of partition function and quantum gravity",

abstract = "We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or the Euclidean AdS3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string.",

author = "Kazuhiro Hikami",

year = "2001",

month = nov,

day = "26",

doi = "10.1016/S0550-3213(01)00464-3",

language = "English",

volume = "616",

pages = "537--548",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Hyperbolicity of partition function and quantum gravity

AU - Hikami, Kazuhiro

PY - 2001/11/26

Y1 - 2001/11/26

N2 - We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or the Euclidean AdS3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string.

AB - We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or the Euclidean AdS3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string.

UR - http://www.scopus.com/inward/record.url?scp=0009707147&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009707147&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(01)00464-3

DO - 10.1016/S0550-3213(01)00464-3

M3 - Article

AN - SCOPUS:0009707147

VL - 616

SP - 537

EP - 548

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

Hyperbolicity of partition function and quantum gravity

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this