Construction of Conformal field theory based on Representation theory of Vertex Operator Algebra
| Project/Area Number |
22540010
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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 | The University of Tokyo |
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Principal Investigator |
TSUCHIYA Akihiro 東京大学, カブリ数物連携宇宙研究機構, 上級科学研究員 (90022673)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 頂点作用素代数 / 共形場理論 / Log共形場理論 / 拡大されたW代数 / 量子群 / テンソル圏 / fusion tensor積 |
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| Research Abstract |
For each pair of relationaly prime positive integer p+ , p- , which are p+ , p- >2, we defined Vertex operator algebras called Extended W algebra. And we showed that (1) they satisfied Zhu’s finiteness conditions, and (2) constructed all the irreducible modules.
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Report
(4 results)
Research Products
(8 results)
