On fusion rules and intertwining operators for the Weyl vertex algebra
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Publication:5234059
DOI10.1063/1.5098128zbMATH Open1462.17029arXiv1903.10248OpenAlexW3102695417WikidataQ127397085 ScholiaQ127397085MaRDI QIDQ5234059
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Publication date: 9 September 2019
Published in: (Search for Journal in Brave)
Abstract: In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way we confirm the conjecture on fusion rules based on the Verlinde algebra. We explicitly construct intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra .
Full work available at URL: https://arxiv.org/abs/1903.10248
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Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models ⋮ Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory ⋮ Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions ⋮ Fusion matrices, generalized Verlinde formulas and partition functions in {\cal WLM}(1,p)
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