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

Daisuke Sagaki; Hiroki Shimakura

doi:10.1090/tran/6382

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

Daisuke Sagaki, Hiroki Shimakura

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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 A⁶_2,3, E_6,3G³_2,1, and A_5,3D_4,3A³_1,1, which correspond to No. 6, No. 17, and No. 32 on Schellekens’ list, respectively.

Original language	English
Pages (from-to)	1621-1646
Number of pages	26
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	3
DOIs	https://doi.org/10.1090/tran/6382
Publication status	Published - 2016 Mar

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/tran/6382

Fingerprint Dive into the research topics of 'Application of a ℤ<sub>3</sub>-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices'. Together they form a unique fingerprint.

Cite this

@article{d7c0e71f2b8347f49ee55122ee81575d,

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

abstract = "By applying Miyamoto{\textquoteright}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{\textquoteright} list, respectively.",

author = "Daisuke Sagaki and Hiroki Shimakura",

year = "2016",

month = mar,

doi = "10.1090/tran/6382",

language = "English",

volume = "368",

pages = "1621--1646",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "3",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=84955472608&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955472608&partnerID=8YFLogxK

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 -