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The Virasoro algebra and sectors with infinite statistical dimension

Sebastiano Carpi

math.OAarXiv:math/0203027

Abstract

We show that the sectors with lowest weight h≥ 0, h≠ j2, j∈ 1/2 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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