On a possible interpretation of fusion in Stochastic Loewner Evolution

TL;DR

This paper proposes a physical interpretation of the behavior of Stochastic Loewner Evolution traces near a marked point, linking it to fusion phenomena in Conformal Field Theory through probability analysis.

Contribution

It introduces a novel interpretation connecting SLE trace behavior with fusion of boundary and bulk fields in CFT, providing a probabilistic perspective.

Findings

SLE traces approaching a marked point can be interpreted via fusion in CFT

The probability of trace events relates to boundary-bulk field fusion

Provides a new physical insight into SLE and CFT connection

Abstract

We suggest how to give a physical interpretation of Stochastic Loewner Evolution traces approaching a marked point in the upper half plane. We show that this may be related to the fusion of boundary with bulk fields in Conformal Field Theory by taking a look at the probability of such an event.