Mapping Class Group Representations and Generalized Verlinde Formula

Details Mapping Class Group Representations and Generalized Verlinde Formula Mapping Class Group Representations and Generalized Verlinde Formula

1995-06-28

arxiv.org/abs/hep-th/9506186v2

Int.J.Mod.Phys. A14 (1999) 1325-1336

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, PlainTex, 1 figure appended

Scientific paper

10.1142/S0217751X99000683

Unitary representations of centrally extended mapping class groups $\tilde
M_{g,1}, g\geq 1$ are given in terms of a rational Hopf algebra $H$, and a
related generalization of the Verlinde formula is presented. Formulae
expressing the traces of mapping class group elements in terms of the fusion
rules, quantum dimensions and statistics phases are proposed.

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