Abstract
We construct solitons in affine orbifold nets associated with outer automorphisms, and we show that our construction gives all the twisted representations of the fixed point subnet. This allows us to settle a number of questions concerning such orbifold constructions.
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Acknowledgement
The author would like to thank Prof. V. G. Kac for stimulating discussions and providing references and useful suggestions. The paper would not have been written without his help.
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Communicated by Y. Kawahigashi
Supported in part by NSF.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Xu, F. On Affine Orbifold Nets Associated with Outer Automorphisms. Commun. Math. Phys. 291, 845–861 (2009). https://doi.org/10.1007/s00220-009-0763-y
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DOI: https://doi.org/10.1007/s00220-009-0763-y