| Budget Amount *help |
¥40,040,000 (Direct Cost: ¥30,800,000、Indirect Cost: ¥9,240,000)
Fiscal Year 2018: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2017: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2016: ¥12,220,000 (Direct Cost: ¥9,400,000、Indirect Cost: ¥2,820,000)
Fiscal Year 2015: ¥10,140,000 (Direct Cost: ¥7,800,000、Indirect Cost: ¥2,340,000)
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| Outline of Final Research Achievements |
We have two mathematical theories to study chiral conformal field theory. One is a theory of vertex operator algebras and the other is one of local conformal nets. The direct relations of the two was not known, but we have proved that one can construct a local conformal net from a strongly local vertex operator algebra and recover the original vertex operator algebra from the local conformal net, with Carpi, Longo and Weiner. We have also given a simple sufficient condition for strong locality.
We also studied topological phases of matter from an operator algebraic viewpoint. We studied gapped domain walls and anyon systems using operator algebras.
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