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T1 - Conformal Invariance of Boundary Touching Loops of FK Ising Model
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UR - http://hdl.handle.net/10138/303496
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A1 - Kemppainen, Antti; Smirnov, Stanislav
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Y1 - 2019
LA - eng
AB - In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant scaling limit. The discrete loop ensemble is described by a canonical tree glued from the interfaces, which then is shown to converge to a tree of branching SLEs. The loop ensemble contains unboundedly many loops and hence our result describes the joint law of infinitely many loops in terms of SLE type processes, and t...
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KW - 111 Mathematics; CRITICAL PERCOLATION
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