The Quantum Symmetry of Rational Field Theories

Research paper by Jürgen Fuchs

Indexed on: 03 Dec '93Published on: 03 Dec '93Published in: High Energy Physics - Theory


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.)