2011 Fiscal Year Final Research Report
Constructions of the moonshine vertex operator algebra by using orbifold theories
| Project/Area Number |
20549004
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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 | Aichi University of Education |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Keywords | 頂点作用素代数 / ムーンシャイン / モンスター / 符号 / 格子 / 自己同型群 / 直交群 |
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| Research Abstract |
By this research project, we obtain a new construction of the moonshine vertex operator algebra based on quadratic spaces. As an application, we obtain a new description of a maximal subgroup of the Monster simple group. This is an analog of the known constructions of the Golay code and Leech lattice. Hence we obtain a new relation among codes, lattices and vertex operator algebras. Moreover, by this approach, we would construct new holomorphic vertex operator algebras of central charge 24.
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Research Products
(17 results)
