APPLICATION OF A Z(3)-ORBIFOLD CONSTRUCTION TO THE LATTICE VERTEX OPERATOR ALGEBRAS ASSOCIATED TO NIEMEIER LATTICES

作者:Sagaki Daisuke; Shimakura Hiroki
来源:Transactions of the American Mathematical Society, 2016, 368(3): 1621-1646.
DOI:10.1090/tran/6382

摘要

By applying Miyamoto's Z(3)-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices and their automorphisms of order 3, we construct holomorphic vertex operator algebras of central charge 24 whose Lie algebras of the weight one spaces are of types A(2,3)(6), E(6,3)G(2,1)(3), and A(5,3)D(4,3)A(1,1)(3), which correspond to No. 6, No. 17, and No. 32 on Schellekens' list, respectively.