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SLE for theoretical physicists. (English) Zbl 1073.81068
The paper can be considered as an introduction to Schramm-Loewner evolution (SLE). The paper contains 6 sections. Section 1 (Introduction) contains history of the problem and aims of the article. In section 2 the lattice models are introduced which can be interpreted in terms of random non-intersecting paths on the lattice whose continuum limit will be described by SLE. Section 3 has subsections about the postulates of SLE, Loewner’s equation, Schramm-Loewner evolution, simple properties of SLE and Radial SLE and the winding angle. Section 4 devoted to calculating with SLE. Next section describes relation of SLE to conformal field theory. Section 6 contains related ideas about multiple SLEs and other variants of SLE.

MSC:
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81S25 Quantum stochastic calculus
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