| Budget Amount *help |
¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2017: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2016: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2014: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
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| Outline of Final Research Achievements |
Throughout this research, we have completely proved the classical conjecture on the finiteness property of orbifold theories of 2-dimensional conformal field theory. Namely, if a conformal field theory has only finitely many simple modules, then the theory (the orbifold theory) consisting of fixed observations by a finite group of symmetries also has only finitely many simple modules. In the construction of new conformal field theory, the orbifold theory construction is one of the most important constructions. Until our result, they have to prove the finiteness properties with a long calculation. We have also got a powerful method to study the property of finite automorphism groups acting on vertex operator algebras.
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