Algebraic properties of CFT coset construction and Schramm-Loewner evolution

Details Algebraic properties of CFT coset construction and Schramm-Loewner evolution Algebraic properties of CFT coset construction and Schramm-Loewner evolution

2011-12-19

arxiv.org/abs/1112.4354v1

2012 J. Phys.: Conf. Ser. 343 012085

Physics

Mathematical Physics

10 pages, 2 figures, talk given at the conference "Quantum Theory and Symmetries (QTS-7)"

Scientific paper

10.1088/1742-6596/343/1/012085

Schramm-Loewner evolution appears as the scaling limit of interfaces in lattice models at critical point. Critical behavior of these models can be described by minimal models of conformal field theory. Certain CFT correlation functions are martingales with respect to SLE. We generalize Schramm-Loewner evolution with additional Brownian motion on Lie group $G$ to the case of factor space $G/A$. We then study connection between SLE description of critical behavior with coset models of conformal field theory. In order to be consistent such construction should give minimal models for certain choice of groups.

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