Stochastic evolutions in superspace and superconformal field theory

被引：8
作者：
Rasmussen, J [1 ]
机构：
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2004年 / 68卷 / 01期
关键词：
stochastic evolutions; superconformal field theory; superspace;
D O I：
10.1007/s11005-004-5100-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Some stochastic evolutions of conformal maps can be described by SLE and may be linked to conformal field theory via stochastic differential equations and singular vectors in highest-weight modules of the Virasoro algebra. Here we discuss how this may be extended to superconformal maps of N=1 superspace with links to superconformal field theory and singular vectors of the N=1 superconformal algebra in the Neveu-Schwarz sector.
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页码：41 / 52
页数：12
相关论文
共 13 条
[1]   Conformal field theories of stochastic Loewner evolutions [J].
Bauer, M ;
Bernard, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 239 (03) :493-521
[2]   SLEκ growth processes and conformal field theories [J].
Bauer, M ;
Bernard, D .
PHYSICS LETTERS B, 2002, 543 (1-2) :135-138
[3]   The definition of Neveu-Schwarz superconformal fields and uncharged superconformal transformations [J].
Dörrzapf, M .
REVIEWS IN MATHEMATICAL PHYSICS, 1999, 11 (02) :137-169
[4]  
FRIEDERICH R, MATHPH0301018
[5]   Values of Brownian intersection exponents III: Two-sided exponents [J].
Lawler, GF ;
Schramm, O ;
Werner, W .
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2002, 38 (01) :109-123
[6]   Values of Brownian intersection exponents, II: Plane exponents [J].
Lawler, GF ;
Schramm, O ;
Werner, W .
ACTA MATHEMATICA, 2001, 187 (02) :275-308
[7]   Values of Brownian intersection exponents, I: Half-plane exponents [J].
Lawler, GF ;
Schramm, O ;
Werner, W .
ACTA MATHEMATICA, 2001, 187 (02) :237-273
[8]  
LAWLER GF, MATHPR0209343
[9]  
LESAGE F, MATHPH0307058
[10]  
NAGI J, HEPTH0309243
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