| Budget Amount *help |
¥45,370,000 (Direct Cost: ¥34,900,000、Indirect Cost: ¥10,470,000)
Fiscal Year 2022: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
Fiscal Year 2021: ¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
Fiscal Year 2020: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
Fiscal Year 2019: ¥13,520,000 (Direct Cost: ¥10,400,000、Indirect Cost: ¥3,120,000)
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| Outline of Final Research Achievements |
We studied relations between 4-tensors appearing in 2-dimensional topolotical order and bi-unitary connections in subfactor theory in operator algebras. In particular, we proved thatt the 4-tensors in the work of Bultinck-Mariena-Williamson-Sahinoglu-Haegeman-Verstraete are essentially the same as (not-necessarily-flat) bi-unitary connections in subfactor theory.
We clarified relations between such bi-unitary connections and generalized quantum 6j-symbols. described alpha-induction in this setting, and gave an operator algebraic description of the range of the projector matrix product operators appearing in physics literature.
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