2007 Fiscal Year Final Research Report Summary
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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| Keywords | vertex operator algebra / W-algebra / orbifold |
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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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Research Products
(34 results)
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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
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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
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