SLE的CFTs：径向情况
CFTs of SLEs: the radial case
摘要：
我们提出了一个共形场论（CFT）和径向随机Schramm-Loewner演化（SLE）之间的关系，类似于我们以前开发的弦SLEs。利用维拉索罗代数的退化表示构造了一个重要的局部鞅.在此框架下，我们给出了导数指数和限制鞅的计算方法。在其CFT公式中，SLE对偶Fokker-Planck算子在边界主场上充当两粒子Calogero哈密顿量，在SLE映射的不动点上充当体主场的伸缩算子。
英文摘要：
We present a relation between conformal field theories (CFT) and radial stochastic Schramm-Loewner evolutions (SLE) similar to that we previously developed for the chordal SLEs. We construct an important local martingale using degenerate representations of the Virasoro algebra. We sketch how to compute derivative exponants and the restriction martingales in this framework. In its CFT formulation, the SLE dual Fokker-Planck operator acts as the two-particle Calogero hamiltonian on boundary primary fields and as the dilatation operator on bulk primary fields localized at the fixed point of the SLE map.
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