Rational Theories of 2D Gravity from the Two-Matrix Model

The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondin...

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Autores principales: Daul, J.M., Kazakov, V.A., Kostov, I.K.
Lenguaje:eng
Publicado: 1993
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90582-A
http://cds.cern.ch/record/566579
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author Daul, J.M.
Kazakov, V.A.
Kostov, I.K.
author_facet Daul, J.M.
Kazakov, V.A.
Kostov, I.K.
author_sort Daul, J.M.
collection CERN
description The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-5665792023-03-14T18:52:44Zdoi:10.1016/0550-3213(93)90582-Ahttp://cds.cern.ch/record/566579engDaul, J.M.Kazakov, V.A.Kostov, I.K.Rational Theories of 2D Gravity from the Two-Matrix ModelParticle Physics - TheoryThe correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averages W(X) and \tilde W(Y) are shown to satisfy the Heisenberg relations {W,X} =1 and {\tilde W,Y}=1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p,q) model related by the duality (p,q) - (q,p). Finally, we present a closed expression for the two two-loop correlators and interpret its scaling limit.The correspondence claimed by Douglas between the multicritical regimes of the two-matrix model and 2d gravity coupled with ( p , q ) rational matter field, is worked out explicity. We found the minimal ( p , q ) multicritical potentials U ( X ) and V ( Y ), which are polynomials of degree p and q , correspondingly. The loop averages W ( X ) and W ( Y ) are shown to satisfy the Heisenberg relations { W , X } = 1 and { W ̃ , Y} = 1 essentially coincide with the canonical momenta P and Q . The operators X and Y create the two kinds of boundaries in the ( p , q ) model related by the duality ( p , q ) ↔ ( q , p ). Finally, we present a closed expression for the two two-loop correlators, and interpret its scaling limit.hep-th/9303093CERN-TH-6834-93CERN-TH-6834-93LPT-ENS-93-7oai:cds.cern.ch:5665791993
spellingShingle Particle Physics - Theory
Daul, J.M.
Kazakov, V.A.
Kostov, I.K.
Rational Theories of 2D Gravity from the Two-Matrix Model
title Rational Theories of 2D Gravity from the Two-Matrix Model
title_full Rational Theories of 2D Gravity from the Two-Matrix Model
title_fullStr Rational Theories of 2D Gravity from the Two-Matrix Model
title_full_unstemmed Rational Theories of 2D Gravity from the Two-Matrix Model
title_short Rational Theories of 2D Gravity from the Two-Matrix Model
title_sort rational theories of 2d gravity from the two-matrix model
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(93)90582-A
http://cds.cern.ch/record/566579
work_keys_str_mv AT dauljm rationaltheoriesof2dgravityfromthetwomatrixmodel
AT kazakovva rationaltheoriesof2dgravityfromthetwomatrixmodel
AT kostovik rationaltheoriesof2dgravityfromthetwomatrixmodel

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