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- W2010505860 abstract "Let G be a simply-connected complex Lie group with simple Lie algebra g and let gˆ be its affine Lie algebra. We use intertwining operators and Knizhnik–Zamolodchikov equations to construct a family of N-graded vertex operator algebras (VOAs) associated to g. These vertex operator algebras contain the algebra of regular functions on G as the conformal weight 0 subspaces and are gˆ⊕gˆ-modules of dual levels k,k¯∉Q in the sense that k+k¯=−2h∨, where h∨ is the dual Coxeter number of g. This family of VOAs was previously studied by Arkhipov–Gaitsgory and Gorbounov–Malikov–Schechtman from different points of view. We show that when k is irrational, the vertex envelope of the vertex algebroid associated to G and the level k is isomorphic to the vertex operator algebra we constructed above. The case of rational levels is also discussed." @default.
- W2010505860 created "2016-06-24" @default.
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- W2010505860 date "2008-12-01" @default.
- W2010505860 modified "2023-10-16" @default.
- W2010505860 title "Vertex operator algebras associated to modified regular representations of affine Lie algebras" @default.
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- W2010505860 doi "https://doi.org/10.1016/j.aim.2008.07.005" @default.
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