SLE martingales and the Virasoro algebra

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dc.creatorBauer, Michel
dc.creatorBernard, Denis
dc.date2003-01-10
dc.date2003-03-13
dc.date.accessioned2026-07-07T11:48:04Z
dc.date.available2026-07-07T11:48:04Z
dc.descriptionWe present an explicit relation between representations of the Virasoro algebra and polynomial martingales in stochastic Loewner evolutions (SLE). We show that the Virasoro algebra is the spectrum generating algebra of SLE martingales. This is based on a new representation of the Virasoro algebra, inspired by the Borel-Weil construction, acting on functions depending on coordinates parametrizing conformal maps.
dc.description13 pages, to appear in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/hep-th/0301064
dc.identifierhttp://arxiv.org/abs/hep-th/0301064
dc.identifierPhys.Lett.B557:309-316,2003
dc.identifierdoi:10.1016/S0370-2693(03)00189-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202794
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleSLE martingales and the Virasoro algebra
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