Loop Equations and Virasoro Constraints in Matrix Models

dc.creatorMakeenko, Yu.
dc.date1991-12-19
dc.date.accessioned2026-07-07T04:18:41Z
dc.date.available2026-07-07T04:18:41Z
dc.descriptionIn the first part of the talk, I review the applications of loop equations to the matrix models and to 2-dimensional quantum gravity which is defined as their continuum limit. The results concerning multi-loop correlators for low genera and the Virasoro invariance are discussed. The second part is devoted to the Kontsevich matrix model which is equivalent to 2-dimensional topological gravity. I review the Schwinger--Dyson equations for the Kontsevich model as well as their explicit solution in genus zero. The relation between the Kontsevich model and the continuum limit of the hermitean one-matrix model is discussed.
dc.description22 pages. Talk at XXVth International Symposium on the Theory of Elementary Particles, Gösen, Germany, September 23--26
dc.identifierhttps://arxiv.org/abs/hep-th/9112058
dc.identifierhttp://arxiv.org/abs/hep-th/9112058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53285
dc.subjectHigh Energy Physics - Theory
dc.titleLoop Equations and Virasoro Constraints in Matrix Models
dc.typetext

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