| Budget Amount *help |
¥14,820,000 (Direct Cost: ¥11,400,000、Indirect Cost: ¥3,420,000)
Fiscal Year 2016: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2014: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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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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