2012 Fiscal Year Final Research Report
Research of Orbifold Theory on Vertex Operator Algebra
| Project/Area Number |
22654002
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KAKEI Tomoyuki 岡山大学, 理学部, 教授 (70231248)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 頂点作用素代数 / 軌道理論 / 格子頂点作用素代数 / 自己同型 |
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| Research Abstract |
One of important problem on Conformal Field Theory is to construct one of finitetype. A vertex operator algebra comes from a different subject, but it is nowunderstood as an algebraic version of Conformal Field Theory. One of the candidatesto construct one of finite type is an orbifold theory using a finite automorphismgroup, but it is not easy. In this research, we succeed to construct a newholomorphic vertex operator algebra using lattice vertex operator algebras and anautomorphisms of order 3.
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Research Products
(11 results)
