| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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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. This problem has been studied based on the list of 71 possible weight one Lie algebra structures given by Schellekens in 1993.
At the beginning of this research project, there are the remaining 12 Lie algebras in the list such that the corresponding holomorphic vertex operator algebras have not been constructed yet. The main result is to establish the 6 cases of the remaining 12 cases by using orbifold constructions. Combining the results by us and other researchers, we have proved that for any Lie algebra in Schellekens' list, there exists a holomorphic vertex operator algebra of central charge 24 with it as the weight one Lie algebra.
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