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The scaling limit of two cluster boundaries in critical lattice models

The scaling limit of two cluster boundaries in critical lattice models

The probability that a point is to one side of a curve in Schramm–Loewner evolution (SLEκ) can be obtained alternatively using boundary conformal field theory (BCFT). We extend the BCFT approach to treat two curves, forming, for example, the left and right boundaries of a cluster. This proves to correspond …