The Virasoro algebra and sectors with infinite statistical dimension

Sebastiano Carpi
March 04, 2002
We show that the sectors with lowest weight $h\geq 0$, $h\neq j^2$, $j\in\frac{ 1}{2}\mathbb Z$ 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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