Modular invariance for conformal full field algebras

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Modular invariance for conformal full field algebras

Let V L and V R be simple vertex operator algebras satisfying certain natural uniqueness-of-vacuum, complete reducibility and cofiniteness conditions and let F be a conformal full field algebra over V L ⊗ V . We prove that the qτ -qτ -traces (natural traces involving qτ = e2πiτ and qτ = e2πiτ ) of geometrically modified genus-zero correlation functions for F are convergent in suitable regions a...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2009

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-09-04933-2