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Meromorphic tensor categories
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We introduce the notion of meromorphic tensor category and illustrate it in several examples. They include representations of quantum affine algebras, chiral algebras of Beilinson and Drinfeld, G-vertex algebras of Borcherds, and representations of GL over a local field. Hopefully the formalism will accomodate various tensor structures arising in relation to the quantized Knizhnik-Zamolodchikov equations and deformed CFT
Forward citations
Cited by 2 Pith papers
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Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians
In 3d holomorphic-topological QFTs, line operators and their OPEs are controlled by a Koszul-dual A-infinity algebra carrying a dg-shifted Yangian structure with a degree-1 r-matrix.
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Conformal blocks, parenthesized braid operad, and $c=1/2$ Virasoro vertex operator algebra
Computes four-point conformal blocks for the c=1/2 Virasoro VOA using hypergeometric functions and identifies its module category with the Tambara-Yamagami category over Z2 via analytic continuation of blocks.
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