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• W2946622598 abstract "We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differential equation with irreducible monodromy. Our Main Theorem 1 provides a classification of all such VOAs in the form of two infinite families of affine VOAs, several other known examples, in addition to eleven possible exceptional character vectors and associated data that we call the U-series. Only two VOAs are known to realize any of the members of the U-series and we provide evidence that there are no more. The idea in the proof of our Main Theorem is to exploit properties of an algebraic family of vector-valued modular forms solving a family of modular linear differential equations in terms of generalized hypergeometric series." @default.
• W2946622598 created "2019-05-29" @default.
• W2946622598 creator A5016145476 @default.
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• W2946622598 date "2019-05-17" @default.
• W2946622598 modified "2023-09-27" @default.
• W2946622598 title "Classification of some three-dimensional vertex operator algebras" @default.
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