| Budget Amount *help |
¥24,180,000 (Direct Cost: ¥18,600,000、Indirect Cost: ¥5,580,000)
Fiscal Year 2020: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2019: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2018: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
Originally, I planned to start from the known formulation of two-dimensional quantum field theory using vertex operator algebras, and generalize it to higher-dimensional quantum field theories. Unfortunately this direction did not proceed as expected, and I decided to concentrate my efforts on generalizing and studying the concept of the symmetry and anomaly of quantum field theory. Luckily this direction was more successful. For example, in a paper from 2018 coauthored with Bhardwaj, I pointed out that symmetry operations, which were usually taken to be always invertible, can be generalized to non-invertible operations. This observation has slowly been taken up by researchers worldwide, and in particular, many papers studying this point further have appeared as preprints this year (2022).
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