Integrability in random matrix models

L. Alvarez-Gaumé; C. Gomez; J. Lacki

doi:10.1016/0370-2693(91)91363-Z

Integrability in random matrix models

L. Alvarez-Gaumé
, C. Gomez
, J. Lacki

Simons Center for Geometry & Physics

University of Geneva
Institute for Advanced Studies

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

35 Scopus citations

Abstract

We prove the equivalence between the recent matrix model formulation of 2D gravity and lattice integrable models. For even potentials this system is the Volterra hierarchy, and many properties of the continuum matrix model like the Virasoro conditions on the partition function stem directly from the integrability properties of the lattice model and its hamiltonian properties.

Original language	English
Pages (from-to)	56-62
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	253
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(91)91363-Z
State	Published - Jan 3 1991

Access to Document

10.1016/0370-2693(91)91363-Z

Cite this

@article{2a5a2dd9c5f444ec938497bb8188f167,

title = "Integrability in random matrix models",

abstract = "We prove the equivalence between the recent matrix model formulation of 2D gravity and lattice integrable models. For even potentials this system is the Volterra hierarchy, and many properties of the continuum matrix model like the Virasoro conditions on the partition function stem directly from the integrability properties of the lattice model and its hamiltonian properties.",

author = "L. Alvarez-Gaum{\'e} and C. Gomez and J. Lacki",

year = "1991",

month = jan,

day = "3",

doi = "10.1016/0370-2693(91)91363-Z",

language = "English",

volume = "253",

pages = "56--62",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

number = "1-2",

}

TY - JOUR

T1 - Integrability in random matrix models

AU - Alvarez-Gaumé, L.

AU - Gomez, C.

AU - Lacki, J.

PY - 1991/1/3

Y1 - 1991/1/3

N2 - We prove the equivalence between the recent matrix model formulation of 2D gravity and lattice integrable models. For even potentials this system is the Volterra hierarchy, and many properties of the continuum matrix model like the Virasoro conditions on the partition function stem directly from the integrability properties of the lattice model and its hamiltonian properties.

AB - We prove the equivalence between the recent matrix model formulation of 2D gravity and lattice integrable models. For even potentials this system is the Volterra hierarchy, and many properties of the continuum matrix model like the Virasoro conditions on the partition function stem directly from the integrability properties of the lattice model and its hamiltonian properties.

UR - https://www.scopus.com/pages/publications/0040056814

U2 - 10.1016/0370-2693(91)91363-Z

DO - 10.1016/0370-2693(91)91363-Z

M3 - Article

AN - SCOPUS:0040056814

SN - 0370-2693

VL - 253

SP - 56

EP - 62

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Integrability in random matrix models

Abstract

Access to Document

Other files and links

Fingerprint

Cite this