SLE martingales and the Virasoro algebra

被引：42

作者：

Bauer, M ^{[1
]}

Bernard, D ^{[1
]}

机构：

[1] CEA Saclay, DSM, SPHT,CNRS, Serv Phys Theor Saclay,URA, F-91191 Gif Sur Yvette, France

来源：

PHYSICS LETTERS B | 2003年 / 557卷 / 3-4期

关键词：

D O I：

10.1016/S0370-2693(03)00189-8

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：309 / 316

页数：8

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