トポロジーと対称性の方法を用い、場の理論と物性論を統一的に研究した。(1)トポロジカル相転移、(2) 中性子P波超流動、(3) カシミール力、(4) 冷却原子気体における共形対称性、(5) 冷却原子気体における渦、(6) S波超流動、(7) Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) 状態、(8) リサージェンス理論、(9) CPN-1模型、(10) 標準模型を超える物理、(11) 高階形式対称性とトポロジカル場の理論、(12) 高階微分の場の理論、(13) 場の理論における変調真空、(14) 量子論とマヨラナ・フェルミオン、(15) アクシオン模型、など。
We have studied quantum field theory and condensed matter theory based on methods of topology and symmetry. (1)Topological phase transitions, (2) Neutron P-wave superfluidity, (3) Casimir force for interactive fermions, (4) Conformal symmetry in ultracold atomic gases and massive Nambu-Goldstone modes, (5) Vortices in umtlracold atomic gases, (6) S-wave superflidity, (7) Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states,(8) Resurgence theory, (9) CPN-1 model, (10) Topological defects in models beyond the Standard Model, (11) Higher-form symmetry and topological field theory, (12) Higher derivative field theory, (13) Modulated vacua in field theory, (14) Quantum mechanics and Majorana fermions, (15) Solution to the domain wall problem of the axion models, etc.
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