Finiteness of conformal blocks over compact Riemann surfaces

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dc.creatorAbe, Toshiyuki
dc.creatorNagatomo, Kiyokazu
dc.date2002-01-07
dc.date.accessioned2026-07-07T04:45:42Z
dc.date.available2026-07-07T04:45:42Z
dc.descriptionWe study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for the underlying Virasoro algebra. Under the fairly general condition, for instance, $C_2$-finiteness, we prove that conformal blocks are of finite dimensional. This, in particular, shows the finiteness of conformal blocks for many well-known conformal field theories including WZNW model and the minimal model.
dc.descriptionLatex2e 16pages
dc.identifierhttps://arxiv.org/abs/math/0201037
dc.identifierhttp://arxiv.org/abs/math/0201037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63049
dc.subjectQuantum Algebra
dc.titleFiniteness of conformal blocks over compact Riemann surfaces
dc.typetext

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