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Lattices, vertex algebras, and modular categories

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Abstract In this note we give an account of recent progress on the construction of holomorphic vertex algebras as cyclic orbifolds as well as related topics in lattices and modular… Click to show full abstract

Abstract In this note we give an account of recent progress on the construction of holomorphic vertex algebras as cyclic orbifolds as well as related topics in lattices and modular categories. We present a novel computation of the Schur indicator of a lattice involution orbifold using finite Heisenberg groups and discriminant forms.

Keywords: lattices vertex; modular categories; vertex algebras; geometry; algebras modular

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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