关于SLE（kappa; rho）的共形场论
On conformal field theory of SLE(kappa; rho)
摘要：
SLE（kappa; rho）是弦Schramm-Löwner演化（SLE）的推广，本文从统计力学和共形场论（CFT）的观点讨论了这一问题.证明了CFT关联函数的某些比值是鞅。解释是SLE（kappa; rho）描述了一个统计力学模型中的界面，该模型的边界条件由电荷为alpha = rho/（2 sqrt（kappa））的顶点算子在库仑气体形式中创建。总电荷为零，因此配分函数具有简单的乘积形式。我们还建议SLE（κ; ρ）的泛化。
英文摘要：
SLE(kappa; rho), a generalization of chordal Schramm-Löwner evolution (SLE), is discussed from the point of view of statistical mechanics and conformal field theory (CFT). Certain ratios of CFT correlation functions are shown to be martingales. The interpretation is that SLE(kappa; rho) describes an interface in a statistical mechanics model whose boundary conditions are created in the Coulomb gas formalism by vertex operators with charges alpha = rho/(2 sqrt(kappa)). The total charge vanishes and therefore the partition function has a simple product form. We also suggest a generalization of SLE(kappa; rho).
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