Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra
نویسندگان
چکیده
We generalize Conway-Sloane's constructions of the Leech lattice from Niemeier lattices using Lorentzian to holomorphic vertex operator algebras (VOA) central charge 24. It provides a tool for analyzing structures and relations among VOAs related by orbifold construction. In particular, we are able get some useful information about certain subVOAs associated with Cartan subalgebra weight one Lie algebra V 1 . also obtain relatively elementary proof that any strongly regular VOA 24 ? 0 can be constructed directly single construction without dimension formula.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.11.006