Construction and classification of holomorphic vertex operator algebras. (English) Zbl 1447.81181
Summary: “We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of \(V_1\)-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.”
The very detailed introduction of this interesting article is highly recommended for reading!
The very detailed introduction of this interesting article is highly recommended for reading!
Reviewer: Olaf Ninnemann (Uffing am Staffelsee)
MSC:
| 17B69 | Vertex operators; vertex operator algebras and related structures |
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