Application of a Z3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices

Application of a Z3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
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Z3-orbifold 构造在与 Niemeier 晶格相关的晶格顶点算子代数中的应用

DOI:
10.1090/tran/6382
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发表时间:
2016
影响因子:
1.3
通讯作者:
Daisuke Sagaki and Hiroki Shimakura
Daisuke Sagaki and Hiroki Shimakura
中科院分区:
数学1区
文献类型:
--
作者:
B. Feigin;A. Hoshino;M. Noumi;J. Shibahara and J. Shiraishi;Daisuke Sagaki and Hiroki Shimakura

文献摘要

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通过将宫本轨道构造应用于与尼迈尔格相关的点阵顶点算子代数及其序自同构,我们构造了中心电荷的全纯顶点算子代数,其权重一空间的李代数为,,,,,分别对应于Schellekens表上的第6号,第17号和第32号。参考
By applying Miyamoto’s-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices and their automorphisms of order, we construct holomorphic vertex operator algebras of central chargewhose Lie algebras of the weight one spaces are of types,, and, which correspond to No. 6, No. 17, and No. 32 on Schellekens’ list, respectively. References