Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models

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dc.creatorKharchev, S.
dc.creatorMarshakov, A.
dc.creatorMironov, A.
dc.creatorMorozov, A.
dc.creatorPakuliak, S.
dc.date1992-08-17
dc.date.accessioned2026-07-07T12:48:47Z
dc.date.available2026-07-07T12:48:47Z
dc.descriptionWe introduce {\it conformal multi-matrix models} (CMM) as an alternative to conventional multi-matrix model description of two-dimensional gravity interacting with $c < 1$ matter. We define CMM as solutions to (discrete) extended Virasoro constraints. We argue that the so defined alternatives of multi-matrix models represent the same universality classes in continuum limit, while at the discrete level they provide explicit solutions to the multi-component KP hierarchy and by definition satisfy the discrete $W$-constraints. We prove that discrete CMM coincide with the $(p,q)$-series of 2d gravity models in a {\it well}-{\it defined} continuum limit, thus demonstrating that they provide a proper generalization of Hermitian one-matrix model.
dc.description35 pages, preprint FIAN/TD-9/92 & ITEP-M-4/92
dc.identifierhttps://arxiv.org/abs/hep-th/9208044
dc.identifierhttp://arxiv.org/abs/hep-th/9208044
dc.identifierNucl.Phys.B404:717-750,1993
dc.identifierdoi:10.1016/0550-3213(93)90595-G
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222178
dc.subjectHigh Energy Physics - Theory
dc.titleConformal Matrix Models as an Alternative to Conventional Multi-Matrix Models
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