Summing over all genera for d > 1: a toy model

Jan Ambjørn; Bergfinnur Durhuus; Thórdur Jónsson

doi:10.1016/0370-2693(90)90337-6

Summing over all genera for d > 1: a toy model

Jan Ambjørn^*, Bergfinnur Durhuus, Thórdur Jónsson

^*Corresponding author for this work

Faculty of Physical Sciences

University of Iceland, Iceland

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

96 Citations (Scopus)

Abstract

We consider a reduced model of discretized random surfaces which is believed to be a good approximation to the standard theory of discretized random surfaces for large dimensions d. In this model we observe multicritical behaviour. The relation between internal observables, in the sense of two-dimensional gravity, and external observables, in the sense of string theory, can be studied in detail. Furthermore, it is possible to perform explicitly the summation over all genera in this model.

Original language	English
Pages (from-to)	403-412
Number of pages	10
Journal	Physics Letters B
Volume	244
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(90)90337-6
Publication status	Published - 26 Jul 1990

Access to Document

10.1016/0370-2693(90)90337-6

Cite this

@article{3f491f5a53954d72af9a39af7e35a36c,

title = "Summing over all genera for d > 1: a toy model",

abstract = "We consider a reduced model of discretized random surfaces which is believed to be a good approximation to the standard theory of discretized random surfaces for large dimensions d. In this model we observe multicritical behaviour. The relation between internal observables, in the sense of two-dimensional gravity, and external observables, in the sense of string theory, can be studied in detail. Furthermore, it is possible to perform explicitly the summation over all genera in this model.",

author = "Jan Ambj{\o}rn and Bergfinnur Durhuus and Th{\'o}rdur J{\'o}nsson",

year = "1990",

month = jul,

day = "26",

doi = "10.1016/0370-2693(90)90337-6",

language = "English",

volume = "244",

pages = "403--412",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - Summing over all genera for d > 1

T2 - a toy model

AU - Ambjørn, Jan

AU - Durhuus, Bergfinnur

AU - Jónsson, Thórdur

PY - 1990/7/26

Y1 - 1990/7/26

N2 - We consider a reduced model of discretized random surfaces which is believed to be a good approximation to the standard theory of discretized random surfaces for large dimensions d. In this model we observe multicritical behaviour. The relation between internal observables, in the sense of two-dimensional gravity, and external observables, in the sense of string theory, can be studied in detail. Furthermore, it is possible to perform explicitly the summation over all genera in this model.

AB - We consider a reduced model of discretized random surfaces which is believed to be a good approximation to the standard theory of discretized random surfaces for large dimensions d. In this model we observe multicritical behaviour. The relation between internal observables, in the sense of two-dimensional gravity, and external observables, in the sense of string theory, can be studied in detail. Furthermore, it is possible to perform explicitly the summation over all genera in this model.

UR - http://www.scopus.com/inward/record.url?scp=0000330632&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(90)90337-6

DO - 10.1016/0370-2693(90)90337-6

M3 - Article

AN - SCOPUS:0000330632

SN - 0370-2693

VL - 244

SP - 403

EP - 412

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Summing over all genera for d > 1: a toy model

Abstract

Access to Document

Fingerprint

Cite this