# The Virasoro algebra and sectors with infinite statistical dimension

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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Annales Henri Poincare 4 (2003) 601-611

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