Construction and Classification of Holomorphic Vertex Operator Algebras
Representation Theory
2017-11-30 v3 Quantum Algebra
Abstract
We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens' classification of -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.
Cite
@article{arxiv.1507.08142,
title = {Construction and Classification of Holomorphic Vertex Operator Algebras},
author = {Jethro van Ekeren and Sven Möller and Nils R. Scheithauer},
journal= {arXiv preprint arXiv:1507.08142},
year = {2017}
}
Comments
37 pages, LaTeX; minor changes: numbering changed in Section 5, added results in Section 7, expanded Section 8; to appear in J. Reine Angew. Math. (Crelles Journal)