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Author Bauer, Michel ♦ Bernard, Denis
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2003-01-10
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Mathematical Physics ♦ Mathematics - Probability ♦ math ♦ physics:hep-th ♦ physics:math-ph
Abstract We 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.
Description Reference: Phys.Lett.B557:309-316,2003
Educational Use Research
Learning Resource Type Article
Page Count 13


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