| Co-Investigator(Kenkyū-buntansha) |
日高 義将 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 教授 (00425604)
押川 正毅 東京大学, 物性研究所, 教授 (50262043)
衛藤 稔 山形大学, 理学部, 教授 (50595361)
木村 太郎 慶應義塾大学, 自然科学研究教育センター(日吉), 訪問講師 (90760794)
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| Budget Amount *help |
¥88,660,000 (Direct Cost: ¥68,200,000、Indirect Cost: ¥20,460,000)
Fiscal Year 2021: ¥19,500,000 (Direct Cost: ¥15,000,000、Indirect Cost: ¥4,500,000)
Fiscal Year 2020: ¥19,500,000 (Direct Cost: ¥15,000,000、Indirect Cost: ¥4,500,000)
Fiscal Year 2019: ¥19,500,000 (Direct Cost: ¥15,000,000、Indirect Cost: ¥4,500,000)
Fiscal Year 2018: ¥19,500,000 (Direct Cost: ¥15,000,000、Indirect Cost: ¥4,500,000)
Fiscal Year 2017: ¥10,660,000 (Direct Cost: ¥8,200,000、Indirect Cost: ¥2,460,000)
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| Outline of Final Research Achievements |
This research is a mathematical fusion study of topological matter in various fields of physics. First, we solved the inverse problem of generating a higher dimensional space-time from the response function of matter in the holography principle. We developed a method to regard a neural network as a discrete geometric space-time, and created a unified field of machine learning, discrete geometry, matter, and gravity theory. We also proposed 5-dimensional Weyl matter as the origin of higher-order topological matter. In condensed matter theory, we extended the Lieb-Schultz-Mattis type theorem based on quantum anomalies to SU(N) symmetry. We extended various topological solitons, merged them with brane worlds, and proposed and extended chiral kinetics and higher-order symmetry theory.
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