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所属: 大阪公立大学 理学研究科 数理物理(表現論)研究室 博士3年

連絡先: renito[at]gmx.com [at] を @ に変えてご使用ください

興味:

  1. 高次次数付きLie代数が生成する対称性
  2. 高次次数付き対称性を備えた可積分系の性質
  3. 高次次数付き対称性を備えた場の理論

Publications

  1. N. Aizawa, I. Fuji, R. Ito, T. Tanaka, F. Toppan, “Integrable \( \mathbb{Z}_2^2 \)-graded super-Liouville equation and induced \( \mathbb{Z}_2^2 \)-graded super-Virasoro algebra”, J. Phys. A: Math. Theor., accepted, DOI: 10.1088/1751-8121/ae73c0 .
  2. N. Aizawa, I. Fuji, R. Ito, “An integrable hierarchy associated with loop extension of \( \mathbb{Z}_2^2 \)-graded \( \mathfrak{osp}(1|2) \)”, J. Phys. A: Math. Theor. 59, 215206 (2026).
  3. R. Ito, A. Nago, “Novel possible symmetries of S-matrix generated by \( \mathbb{Z}_2^n \)-graded Lie superalgebras”, Nucl. Phys. B 1014, 116877 (2025).
  4. N. Aizawa, R. Ito, Z. Kuznetsova, T. Tanaka, F. Toppan, “Integrable \( \mathbb{Z}_2^2 \)-graded extensions of the Liouville and sinh-Gordon theories”, J. Phys. A: Math. Theor. 58, 055201 (2025).
  5. N. Aizawa, R. Ito, T. Tanaka, “\( \mathcal N=2 \) double graded supersymmetric quantum mechanics via dimensional reduction”, AIMS Math. 9, 10494–10522 (2024).
  6. N. Aizawa, R. Ito, T. Tanaka, “\( \mathbb{Z}_2^2 \)-graded supersymmetry via superfield on minimal \( \mathbb{Z}_2^2 \)-superspace”, J. Phys. A: Math. Theor. 57, 435201 (2024).
  7. N. Aizawa, R. Ito, “Integration on minimal \( \mathbb{Z}_2^2 \)-superspace and emergence of space”, J. Phys. A: Math. Theor. 56, 485201 (2023).
  8. N. Aizawa, R. Ito, Z. Kuznetsova, F. Toppan, “New aspects of the \( \mathbb{Z}_2 \times \mathbb{Z}_2 \)-graded 1D superspace: induced strings and 2D relativistic models”, Nucl. Phys. B 991, 116202 (2023).

Proceedings

  1. N. Aizawa, R. Ito, T. Tanaka, “\( \mathcal N=2\ \mathbb{Z}_2^2 \)-supersymmetry and quantum mechanics”, Int. J. Geom. Methods Mod. Phys. 23, 2540035 (2026).

International Conferences

  1. \( \mathbb{Z}_2\times\mathbb{Z}_2 \)-Graded Extension of the Super-Liouville Theory, ALGEBRA AND PHYSICS, Rio de Janeiro, Brazil, September 2025.
  2. \( \mathbb{Z}_2\times\mathbb{Z}_2 \)-Graded Extension of the Super-Liouville Theory, ISQS29, Prague, Czech Republic, July 2025.
  3. Possible Symmetry of S-matrix Associated with Higher Graded Lie Superalgebra, UM Physics Conference 2024, Miami, USA, December 2024.
  4. \( \mathcal N=2\ \mathbb{Z}_2^2 \)-Supersymmetry and Quantum Mechanics, 35th ICGTMP, Cotonou, Benin, July 2024.

Invited Talks and Seminars

  1. On Generalized Statistics and Stability in \( \mathbb{Z}_2^2 \)-Graded Supersymmetric Yang--Mills Theory, Rikkyo University, Tokyo, Japan, April 2026.
  2. Towards Novel \( \mathbb Z_2^n \)-Graded Structures in 4D Relativistic Quantum Field Theory: Possible Symmetries and Particles Beyond Bosons and Fermions, Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, Brazil, October 2025.
  3. Novel \( \mathbb{Z}_2\times\mathbb{Z}_2 \)-Graded Extension of Integrable Systems via Zero-Curvature Representation, Universidade Federal de São Carlos, São Carlos, Brazil, October 2025.
  4. Towards Novel \( \mathbb Z_2^n \)-Graded Structures in 4D Relativistic Quantum Field Theory: Possible Symmetries and Particles Beyond Bosons and Fermions, Universidade de São Paulo, São Carlos, Brazil, September 2025.

Domestic Conferences and Workshops

  1. Possible symmetries of S-matrix generated by higher-graded Lie superalgebras, 日本物理学会2025年春季大会, March 2025.
  2. Possible symmetries of S-matrix generated by higher-graded Lie superalgebras, 理論物理学生セミナー, March 2025.
  3. 次数付きLie代数は場の量子論に適用可能か？, 南部・アインシュタインセミナー, November 2024.
  4. 場の量子論と対称性〜Higher graded symmetry〜, 関西地域セミナー, October 2024.
  5. \( \mathbb{Z}_2^2 \)-Extension of Liouville and sinh-Gordon Equations by Zero-Curvature Formulations, 日本物理学会2024年年次大会, September 2024.
  6. 場の量子論における対称性の拡張可能性〜\( \mathbb Z_2^n \)-graded Extension of Supersymmetry〜, 原子核三者若手夏の学校, August 2024.
  7. A Novel \( \mathbb{Z}_2^2 \)-SUSY Quantum Mechanics, 日本物理学会2024年春季大会, March 2024.
  8. \( \mathbb{Z}_2^2 \)-graded Supersymmetry via Superfield on Minimal \( \mathbb{Z}_2^2 \)-Superspace, 原子核と他分野研究の交差点, March 2024.
  9. \( \mathbb{Z}_2^2 \)超対称系の数理, 素粒子・数理科学地域研究グループ研究集会, February 2024.
  10. 拘束系の量子化と\( \mathbb{Z}_2\times\mathbb{Z}_2 \)超対称力学, 南部・アインシュタインセミナー, November 2023.
  11. Integration on Minimal \( \mathbb{Z}_2^2 \)-Superspace and 2D Relativistic Lagrangian, 関西地域セミナー, October 2023.
  12. Integration on Minimal \( \mathbb{Z}_2^2 \)-Superspace and 2D Relativistic Lagrangian, 日本物理学会2023年年次大会, September 2023.
  13. Integration on Minimal \( \mathbb{Z}_2^2 \)-Superspace and 2D Relativistic Lagrangian, 原子核三者若手夏の学校, August 2023.
  14. New Aspects of \( \mathbb{Z}_2^2 \)-Graded Superspace with Induced Stringy-Modes Actions 2, 日本物理学会2023年春季大会, March 2023.
  15. The \( \mathbb{Z}_2^2 \)-Graded Classical Mechanics: The Analysis via Realization, 素粒子・数理科学地域研究グループ研究集会, February 2023.
  16. \( \mathbb{Z}_2^2 \)超対称性をもつ古典力学系に対する表現論的な解析, 南部・アインシュタインセミナー, November 2022.
  17. The Classical and Quantum Mechanics with \( N=2 \) Supersymmetry, 素粒子・数理科学地域研究グループ合同卒検発表会, February 2022.