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arxiv: math/0203027 · v2 · pith:ZEWQGKGDnew · submitted 2002-03-04 · 🧮 math.OA · math-ph· math.MP

The Virasoro algebra and sectors with infinite statistical dimension

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keywords algebradimensioninfinitesectorsstatisticalvirasoroalgebrascentral
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We show that the sectors with lowest weight $h\geq 0$, $h\neq j^2$, $j\in {1/2}\ZZ$ 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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