The Virasoro algebra and sectors with infinite statistical dimension

Sebastiano Carpi
December 03, 2002
We show that the sectors with lowest weight $h\geq 0$, $h\neq j^2$, $j\in {1/2}\mathbb{Z}$ of the local net of von Neumann algebras on the circle generated by the Virasoro algebra with central charge c=1 have infinite statistical dimension.
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@article{Carpi:2002gu, author = "Carpi, S.", title = "{The Virasoro algebra and sectors with infinite statistical dimension}", journal = "Annales Henri Poincare", volume = "4", year = "2003", pages = "601-611", doi = "10.1007/s00023-003-0140-x", eprint = "math/0203027", archivePrefix = "arXiv", primaryClass = "math", SLACcitation = "%%CITATION = MATH/0203027;%%" }

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