One- and two-matrix models and random cylindre with two-coloured boundaries

dc.creatorOrantin, Nicolas
dc.date2004-11-04
dc.date.accessioned2026-07-07T04:17:43Z
dc.date.available2026-07-07T04:17:43Z
dc.descriptionIn this training course report, I briefly present the one- and two-matrix models as tools for the study of conformal field theories with boundaries. In a first part, after a short historical presentation of random matrices, I present the matrix models' formalism, their diagramatic interpretation, their link with random surfaces and conformal field theories and the "loop equations" method for the 2-matrix model. In a second part, I use this method for the calculation of the generating function of random cylindres whose boundaries are two-coloured, which was not know before.
dc.description30 pages, 9 figures, LaTex, report in french
dc.identifierhttps://arxiv.org/abs/hep-th/0411054
dc.identifierhttp://arxiv.org/abs/hep-th/0411054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52875
dc.subjectHigh Energy Physics - Theory
dc.titleOne- and two-matrix models and random cylindre with two-coloured boundaries
dc.typetext

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