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Conformal nets associated with lattices and their orbifolds |
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| Authors: | Chongying Dong Feng Xu |
| Affiliation: | a Department of Mathematics, University of California at Santa Cruz, Santa Cruz, CA 95064, USA b Department of Mathematics, University of California at Riverside, Riverside, CA 92521, USA c Mathematical Institute, Hebei Normal University, Hebei, Shijiazhuang, China 50016 |
| Abstract: | In this paper, we study representations of conformal nets associated with positive definite even lattices and their orbifolds with respect to isometries of the lattices. Using previous general results on orbifolds, we give a list of all irreducible representations of the orbifolds, which generate a unitary modular tensor category. |
| Keywords: | 81R15 17B69 |
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