| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The classification of holomorphic vertex operator algebras of central charge 24 is one of famous problems in vertex operator algebra theory. The 71 candidates have been constructed, and the remaining problem is to prove that the vertex operator algebra structure is uniquely determined by the Lie algebra structure of the weight one subspace.
At the beginning of this research project, there are the remaining 41 holomorphic vertex operator algebras of central charge 24 whose uniqueness have not been proved yet. The main result is to prove the uniqueness of the 11 cases by using the reverse orbifold construction. Combining the results by us and other researchers, we have proved the uniqueness of holomorphic vertex operator algebras of central charge 24 with non-trivial weight one subspaces.
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