A solution of two-dimensional topological quantum gravity

Erik Verlinde; Herman Verlinde

doi:10.1016/0550-3213(91)90200-H

A solution of two-dimensional topological quantum gravity

Erik Verlinde, Herman Verlinde

Physics

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

147 Scopus citations

Abstract

We give a formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression for the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.

Original language	English (US)
Pages (from-to)	457-489
Number of pages	33
Journal	Nuclear Physics, Section B
Volume	348
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90200-H
State	Published - Jan 21 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/0550-3213(91)90200-H

Fingerprint Dive into the research topics of 'A solution of two-dimensional topological quantum gravity'. Together they form a unique fingerprint.

Cite this

@article{e2a3fdb949ed403a8471132ddc00cf81,

title = "A solution of two-dimensional topological quantum gravity",

abstract = "We give a formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression for the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.",

author = "Erik Verlinde and Herman Verlinde",

note = "Funding Information: * Research supported by NSF Waterman Grant Bitnet address : verlinde~{\`a}'iassns * * Research supported by NSF Grant PHY80-19754. Bitnet address: hlv@.pupthy.princeton.edu",

year = "1991",

month = jan,

day = "21",

doi = "10.1016/0550-3213(91)90200-H",

language = "English (US)",

volume = "348",

pages = "457--489",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - A solution of two-dimensional topological quantum gravity

AU - Verlinde, Erik

AU - Verlinde, Herman

N1 - Funding Information: * Research supported by NSF Waterman Grant Bitnet address : verlinde~à'iassns * * Research supported by NSF Grant PHY80-19754. Bitnet address: hlv@.pupthy.princeton.edu

PY - 1991/1/21

Y1 - 1991/1/21

N2 - We give a formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression for the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.

AB - We give a formulation of two-dimensional topological gravity without matter in terms of a supersymmetric conformally invariant field theory and derive a path integral expression for the physical amplitudes. A careful analysis of the contact terms of the physical operators reveals the presence of a non-commutative algebra, isomorphic to the Virasoro algebra. We show that this algebra completely determines all the amplitudes at arbitrary genus, which coincide with those of the one-matrix model at the k = 1 critical point.

UR - http://www.scopus.com/inward/record.url?scp=0001158442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001158442&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(91)90200-H

DO - 10.1016/0550-3213(91)90200-H

M3 - Article

AN - SCOPUS:0001158442

VL - 348

SP - 457

EP - 489

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

A solution of two-dimensional topological quantum gravity

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this