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Lectures on RCFT. (English) Zbl 0728.57012

Physics, geometry, and topology, Proc. NATO ASI, Summer Sch. Theor. Phys., Banff/Can. 1989, NATO ASI Ser., Ser. B 238, 263-361 (1990).
Summary: [For the entire collection see Zbl 0723.00031.]
We review some recent results in two dimensional Rational Conformal Field Theory. We discuss these theories as a generalization of group theory. The relation to a three dimensional topological theory is explained and the particular example of the Chern-Simons-Witten theory is analyzed in detail. This study leads to a natural conjecture regarding the classification of all RCFT’s.

MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

Citations:

Zbl 0723.00031