Construction and classification of holomorphic vertex operator algebras

By Jethro van Ekeren, Sven Möller, Nils R. Scheithauer. Journal für die Reine und Angewandte Mathematik, 2015

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Abstract We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of V1{V_{1}}-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally, we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/51d7ec46b93bdc4cec9d674f8cfdb7a2674f1109