Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam; Hiroki Shimakura

doi:10.1353/ajm.2015.0001

Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam, Hiroki Shimakura

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.

Original language	English
Pages (from-to)	137-111
Number of pages	27
Journal	American Journal of Mathematics
Volume	137
Issue number	1
DOIs	https://doi.org/10.1353/ajm.2015.0001
Publication status	Published - 2015 Jan 1

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1353/ajm.2015.0001

Fingerprint Dive into the research topics of 'Classification of holomorphic framed vertex operator algebras of central charge 24'. Together they form a unique fingerprint.

Cite this

Lam, C. H., & Shimakura, H. (2015). Classification of holomorphic framed vertex operator algebras of central charge 24. American Journal of Mathematics, 137(1), 137-111. https://doi.org/10.1353/ajm.2015.0001

@article{96cb26cb46e94242917a42e00e2b16c7,

title = "Classification of holomorphic framed vertex operator algebras of central charge 24",

abstract = "This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.",

author = "Lam, {Ching Hung} and Hiroki Shimakura",

year = "2015",

month = jan,

day = "1",

doi = "10.1353/ajm.2015.0001",

language = "English",

volume = "137",

pages = "137--111",

journal = "American Journal of Mathematics",

issn = "0002-9327",

publisher = "Johns Hopkins University Press",

number = "1",

}

TY - JOUR

T1 - Classification of holomorphic framed vertex operator algebras of central charge 24

AU - Lam, Ching Hung

AU - Shimakura, Hiroki

PY - 2015/1/1

Y1 - 2015/1/1

N2 - This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.

AB - This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.

UR - http://www.scopus.com/inward/record.url?scp=84922418357&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922418357&partnerID=8YFLogxK

U2 - 10.1353/ajm.2015.0001

DO - 10.1353/ajm.2015.0001

M3 - Article

AN - SCOPUS:84922418357

VL - 137

SP - 137

EP - 111

JO - American Journal of Mathematics

JF - American Journal of Mathematics

SN - 0002-9327

IS - 1

ER -