W-algebras in lattice vertex operator algebras
| Project/Area Number |
17540016
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Hitotsubashi University |
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Principal Investigator |
YAMADA Hiromichi Hitotsubashi University, Graduate School of Economics, Professor (50134888)
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| Project Period (FY) |
2005 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥3,270,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Keywords | vertex operator algebra / W-algebra / orbifold / 国際研究者交流 / ブルガリア:アメリカ / 共形元 / ヴィラソロ代数 / モンスター単純群 |
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| Research Abstract |
The purpose of the project is to study the structure of the vertex operator algebras associated with positive definite even lattices. In particular, we are interested in the subalgebra consisting of the fixed points by an automorphism of finite order that is, an orbifold. More precisely, the orbifold of the vertex operator algebra associated with √<2> times an ordinary root lattice of type A_2 by an automorphism induced from the Coxeter element of the root system is studied. The orbifold contains two W_3-algebras as its subalgebras, one is of central charge 4/5 and the other is of central charge 6/5. The classification of irreducible modules for these two W_3-algebras are known. Based on the known results, we have studied the orbifold in detail and classified its irreducible modules. The results obtained in this project are published in recent papers. The results were also presented at several meetings and some international conferences. The work is concerned with the root lattice of type A_2. The case for the root lattice of type A with general rank should be an important subject
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Report
(4 results)
Research Products
(38 results)
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[Presentation] ある種のW代数の既約加群2007
Author(s)
山田裕理
Organizer
日本数学会秋季総合分科会
Place of Presentation
東北大学
Year and Date
2007-09-21
Description
「研究成果報告書概要(和文)」より
Related Report
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[Presentation] Z_3-orbifold of lattice VOAs2006
Author(s)
山田裕理
Organizer
Conference on Groups, VOAs, and Related Structures in Honor of Koichiro Harada
Place of Presentation
The Ohio State University(アメリカ)
Year and Date
2006-06-13
Description
「研究成果報告書概要(和文)」より
Related Report
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[Presentation] Z3-orbifold of lattice VOAs2006
Author(s)
H, Yamada
Organizer
Conference on Groups, VOAs, and Related Structures in Honor of Koichiro Harada
Place of Presentation
The Ohio State University
Year and Date
2006-06-13
Description
「研究成果報告書概要(欧文)」より
Related Report
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