The Virasoro algebra and sectors with infinite statistical dimension

Abstract

We show that the sectors with lowest weight $h\ge 0$, $h\ne j^2$, $j\in {1/2}\ZZ$ 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.

14 pages, minor changes, one reference added

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