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arXiv math-ph/0407049math-phhep-thmath.MP
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随机演化与超共形场论

On Stochastic Evolutions and Superconformal Field Theory

Jasbir Nagi, Jorgen Rasmussen

摘要:

在SLE领域中,通过利用维拉索罗代数的最高权模中的奇异向量,研究了共形映射的某些随机演化与共形场论之间的联系。最近发现,这种情况可以扩展到随机演化的超共形映射的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。在这里我们讨论类似的扩展到雷蒙部门。我们还讨论了如何修改的链接时,一个非常规的超共形结构或超导数。

英文摘要:

Links between certain stochastic evolutions of conformal maps and conformal field theory have been studied in the realm of SLE and by utilizing singular vectors in highest-weight modules of the Virasoro algebra. It was recently found that this scenario could be extended to stochastic evolutions of 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. Here we discuss the analogous extension to the Ramond sector. We also discuss how the links are modified when an unconventional superconformal structure or superderivative is employed.

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