2017 Fiscal Year Final Research Report
New developments of representation theory of W-algebras
| Project/Area Number |
25287004
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
山内 博 東京女子大学, 公私立大学の部局等, 准教授 (40452213)
山田 裕理 一橋大学, 経済学研究科(研究院), その他 (50134888)
和田 堅太郎 信州大学, 理学部, 准教授 (60583862)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | 頂点作用素代数 / W代数 / アフィンリー環 / 随伴多様体 / ヒッグス枝 / シューア指数 |
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| Outline of Final Research Achievements |
We have obtained a numerous results on W-algebras. In particular, the work with Anne Moreau on the W-algebras associated with the Define exceptional series has revealed un expected relationship between the Higgs branches of the four dimensional N=2 supernormal field theories and a certain geometric invariant of vertex algebras called the associated varieties. Based on the relationship, with Kazyuya Kawasetsu we showed the modularity of the Schur indices of our dimensional N=2 supernormal field theories in physics.
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| Free Research Field |
表現論
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