超空间中的随机演化与超共形场论
Stochastic evolutions in superspace and superconformal field theory
摘要:
共形映射的一些随机演化可以用SLE来描述,并且可以通过随机微分方程和维拉索罗代数的最高权模中的奇异向量与共形场论联系起来。在这里,我们讨论如何这可能是扩展到超共形映射的N=1超空间的超共形场论和奇异向量的N=1超共形代数的Neveu-Schwarz部门。
英文摘要:
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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