SLE、CFT和Z字形概率
SLE, CFT and zig-zag probabilities
摘要:
这些说明的目的有三个。首先,我们讨论了几何方面的共形协方差随机Schramm-Loewner演化(SLEs)。这导致我们引入新的“偶极”SLE,除了已知的弦,径向或环形SLE。其次,我们回顾了我们的方法的主要特点连接SLE的共形场论(CFTs)。它是基于使用边界CFTs探测SLE船体。最后,我们研究了锯齿概率及其与CFT关联函数的关系。我们提出了一个假定的SLE样品的编织和CFT关联函数之间的联系。
英文摘要:
The aim of these notes is threefold. First, we discuss geometrical aspects of conformal covariance in stochastic Schramm-Loewner evolutions (SLEs). This leads us to introduce new ``dipolar'' SLEs, besides the known chordal, radial or annular SLEs. Second, we review the main features of our approach connecting SLEs to conformal field theories (CFTs). It is based on using boundary CFTs to probe the SLE hulls. Finally, we study zig-zag probabilities and their relation with CFT correlation functions. We suggest a putative link between the braiding of SLE samples and that of CFT correlation functions.
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