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Orbifolds of Lattice Vertex Operator Algebras at $d=48$ and $d=72$

Published 28 Feb 2018 in math.QA, hep-th, math-ph, and math.MP | (1802.10581v1)

Abstract: Motivated by the notion of extremal vertex operator algebras, we investigate cyclic orbifolds of vertex operator algebras coming from extremal even self-dual lattices in $d=48$ and $d=72$. In this way we construct about one hundred new examples of holomorphic VOAs with a small number of low weight states.

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