Abstract.
We show that the sectors with lowest weight $ h \geq 0,\, h \neq j{^2},\, j \in {1\over2}\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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Communicated by Klaus Fredenhagen
submitted 28/11/02, accepted: 10/03/03
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Carpi, S. The Virasoro Algebra and Sectors with Infinite Statistical Dimension . Ann. Henri Poincaré 4, 601–611 (2003). https://doi.org/10.1007/s00023-003-0140-x
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DOI: https://doi.org/10.1007/s00023-003-0140-x