The Quantum Symmetry of Rational Field Theories

Details The Quantum Symmetry of Rational Field Theories The Quantum Symmetry of Rational Field Theories

1993-12-03

arxiv.org/abs/hep-th/9312026v1

Theor.Math.Phys. 98 (1994) 266-276; Teor.Mat.Fiz. 98 (1994) 388-403

Physics

High Energy Physics

High Energy Physics - Theory

16 pages (A4) in LaTeX

Scientific paper

10.1007/BF01102203

The quantum symmetry of a rational quantum field theory is a finite- dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided monoidal C^*-category. Various properties of such algebraic structures are described, and some ideas concerning the classification programme are outlined. (Invited talk given at the III. International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June 1993. To appear in Teor.Mat.Fiz.)

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