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

2018/02/28 by Gemünden, Thomas, Keller, Christoph A.
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1802.10581

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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