SLE martingales and the Virasoro algebra

DOI10.1016/S0370-2693(03)00189-8zbMATH Open1009.81022arXivhep-th/0301064MaRDI QIDQ1864760

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Publication date: 19 March 2003

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/0301064

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