Some computations in the cyclic permutations of completely rational nets

Details Some computations in the cyclic permutations of completely rational nets Some computations in the cyclic permutations of completely rational nets

2005-11-27

arxiv.org/abs/math/0511662v1

Mathematics

Operator Algebras

30 Pages Latex

Scientific paper

10.1007/s00220-006-0042-0

In this paper we calculate certain chiral quantities from the cyclic permutation orbifold of a general completely rational net. We determine the fusion of a fundamental soliton, and by suitably modified arguments of A. Coste , T. Gannon and especially P. Bantay to our setting we are able to prove a number of arithmetic properties including congruence subgroup properties for $S, T$ matrices of a completely rational net defined by K.-H. Rehren .

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