Some computations in the cyclic permutations of completely rational nets

Abstract

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 .

30 Pages Latex

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Cited by in corpus (6)

• Congruence Property In Conformal Field Theory
• Congruence Subgroups and Generalized Frobenius-Schur Indicators
• Torus bundles not distinguished by TQFT invariants
• Examples of subfactors from conformal field theory
• On examples of intermediate subfactors from conformal field theory
• The orbifold transform and its applications