Fusion Algebras Induced by Representations of the Modular Group

Details Fusion Algebras Induced by Representations of the Modular Group Fusion Algebras Induced by Representations of the Modular Group

1992-10-08

arxiv.org/abs/hep-th/9210040v2

Int.J.Mod.Phys. A8 (1993) 3495-3507

Physics

High Energy Physics

High Energy Physics - Theory

(one change informula (4.15), some minor changes) 13 pages (plain TeX), to be published in Int.Jour.Mod.Phys.A

Scientific paper

10.1142/S0217751X93001405

Using the representation theory of the subgroups SL_2(Z_p) of the modular group we investigate the induced fusion algebras in some simple examples. Only some of these representations lead to 'good' fusion algebras. Furthermore, the conformal dimensions and the central charge of the corresponding rational conformal field theories are calculated. Two series of representations which can be realized by unitary theories are presented. We show that most of the fusion algebras induced by admissible representations are realized in well known rational models.

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