Some computations in the cyclic permutations of completely rational nets
Xu, Feng
arXiv, 0511662 / Harvested from arXiv
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 .
Publié le : 2005-11-27
Classification:  Mathematics - Operator Algebras,  Mathematical Physics,  Mathematics - Quantum Algebra,  81R15,,  17B69
@article{0511662,
     author = {Xu, Feng},
     title = {Some computations in the cyclic permutations of completely rational nets},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511662}
}
Xu, Feng. Some computations in the cyclic permutations of completely rational nets. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511662/