TY - JOUR
T1 - Application of a ℤ3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
AU - Sagaki, Daisuke
AU - Shimakura, Hiroki
PY - 2016/3
Y1 - 2016/3
N2 - By applying Miyamoto’s ℤ3-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 A62,3, E6,3G32,1, and A5,3D4,3A31,1, which correspond to No. 6, No. 17, and No. 32 on Schellekens’ list, respectively.
AB - By applying Miyamoto’s ℤ3-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 A62,3, E6,3G32,1, and A5,3D4,3A31,1, which correspond to No. 6, No. 17, and No. 32 on Schellekens’ list, respectively.
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U2 - 10.1090/tran/6382
DO - 10.1090/tran/6382
M3 - Article
AN - SCOPUS:84955472608
VL - 368
SP - 1621
EP - 1646
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 3
ER -