CFT Interpretation of Merging Multiple SLE Traces

Details CFT Interpretation of Merging Multiple SLE Traces CFT Interpretation of Merging Multiple SLE Traces

2007-11-20

arxiv.org/abs/0711.3165v1

Physics

Mathematical Physics

30 pages

Scientific paper

In this paper we give a physical interpretation of the probability of a Stochastic Loewner Evolution (SLE) trace approaching a marked point in the upper half plane, e.g. on another trace. Our approach is based on the concept of fusion of boundary with bulk or other boundary fields in Conformal Field Theory (CFT). In this context we also state a proposal how the results can be extended to situations that happen not sufficiently far away from the boundary.

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