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- W4309585909 abstract "Chiral de Rham complex introduced by Malikov et al. in 1998, is a sheaf of vertex algebras on any complex analytic manifold or non-singular algebraic variety. Starting from the vertex algebra of global sections of chiral de Rham complex on the upper half plane, we consider the subspace of $Gamma$-invariant sections that are meromorphic at the cusps. The space is again a vertex operator algebra, with a linear basis consisting of lifting formulas of meromorphic modular forms. We will describe two types of lifting formulas, and generalize the Rankin-Cohen bracket to the meromorphic modular forms. As an application, we will show that the vertex algebras constructed by congruence subgroups are simple." @default.
- W4309585909 created "2022-11-28" @default.
- W4309585909 creator A5043028002 @default.
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- W4309585909 date "2022-11-18" @default.
- W4309585909 modified "2023-09-27" @default.
- W4309585909 title "Simple Vertex Algebras Arising From Congruence Subgroups" @default.
- W4309585909 doi "https://doi.org/10.48550/arxiv.2211.10090" @default.
- W4309585909 hasPublicationYear "2022" @default.
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