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Study of Argyles-Douglas theory based on quantum integrability

Research Project

Project/Area Number 18K03643
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionTokyo Institute of Technology

Principal Investigator

Ito Katsushi  東京工業大学, 理学院, 教授 (60221769)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords超対称性 / 量子可積分模型 / ODE/IM対応 / Argyres-Douglas理論 / Seiberg-Witten理論 / 可積分模型 / WKB解析 / 共形場理論 / 可積分性 / ゲージ理論 / 量子可積分性
Outline of Final Research Achievements

Four-dimensional N=2 superconformal field theories called the Argyres-Douglas theories are non-local theories, where we cannot apply standard method of field theories. In this study, we focus on the quantum Seiberg-Witten periods which characterize the low-energy effective theories and studied them using the exact WKB analysis and the ODE/IM correspondence. I determined the quantum Seiberg-WItten periods for the Schroedinger-type differential equations with a polynomial potential by the thermodynamic Bethe ansatz(TBA) equations. By generalizing the ODE/IM correspondence to the higher-order ODE, we also confirm the relation between the quantum Seiberg-Witten periods and the TBA equations.

Academic Significance and Societal Importance of the Research Achievements

摂動論など従来の手法で解析が困難と見られてきた強結合領域における場の量子論を, 2次元の量子可積分模型や常微分方程式の解の接続問題と共通な数学的構造があることを見出すことにより研究する新しい手法を開発した。またこの手法は量子力学のスペクトル問題を量子可積分的手法により厳密に解く新しい手法を与えるなど、摂動論を越えた物理の理解に大きく貢献するものである。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (25 results)

All 2023 2022 2021 2020 2019 2018

All Journal Article (12 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 11 results,  Open Access: 10 results) Presentation (13 results) (of which Int'l Joint Research: 10 results,  Invited: 10 results)

  • [Journal Article] ODE/IM Correspondence―A Mysterious Relation between Ordinary Differential Equations and Quantum Integrable Models2023

    • Author(s)
      伊藤 克司
    • Journal Title

      Butsuri

      Volume: 78 Issue: 4 Pages: 180-189

    • DOI

      10.11316/butsuri.78.4_180

    • ISSN
      0029-0181, 2423-8872
    • Year and Date
      2023-04-05
    • Related Report
      2022 Annual Research Report
  • [Journal Article] ODE/IM correspondence and supersymmetric affine Toda field equations2022

    • Author(s)
      Ito Katsushi、Zhu Mingshuo
    • Journal Title

      Nuclear Physics B

      Volume: 985 Pages: 116004-116004

    • DOI

      10.1016/j.nuclphysb.2022.116004

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Wall-crossing of TBA equations and WKB periods for the higher order ODE2022

    • Author(s)
      Ito Katsushi、Kondo Takayasu、Shu Hongfei
    • Journal Title

      Proceedings of the East Asia Joint Symposium on Fields and Strings 2021

      Volume: 1 Pages: 43-52

    • DOI

      10.1142/9789811261633_0005

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Wall-crossing of TBA equations and WKB periods for the third order ODE2022

    • Author(s)
      Ito Katsushi、Kondo Takayasu、Shu Hongfei
    • Journal Title

      Nuclear Physics B

      Volume: 979 Pages: 115788-115788

    • DOI

      10.1016/j.nuclphysb.2022.115788

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] WKB periods for higher order ODE and TBA equations2021

    • Author(s)
      Ito Katsushi、Kondo Takayasu、Kuroda Kohei、Shu Hongfei
    • Journal Title

      Journal of High Energy Physics

      Volume: 2021 Issue: 10 Pages: 1-28

    • DOI

      10.1007/jhep10(2021)167

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] ODE/IM correspondence for affine Lie algebras: a numerical approach2021

    • Author(s)
      Ito Katsushi、Kondo Takayasu、Kuroda Kohei、Shu Hongfei
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 54 Issue: 4 Pages: 044001-044001

    • DOI

      10.1088/1751-8121/abd21e

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantum Seiberg-Witten periods for N=2 SU(N) SQCD around the superconformal point2020

    • Author(s)
      Ito Katsushi、Koizumi Saki、Okubo Takafumi
    • Journal Title

      Nuclear Physics B

      Volume: 954 Pages: 115004-115004

    • DOI

      10.1016/j.nuclphysb.2020.115004

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum Seiberg-Witten curve and universality in Argyres-Douglas theories2019

    • Author(s)
      Ito Katsushi、Koizumi Saki、Okubo Takafumi
    • Journal Title

      Physics Letters B

      Volume: 792 Pages: 29-34

    • DOI

      10.1016/j.physletb.2019.03.024

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] TBA equations and resurgent Quantum Mechanics2019

    • Author(s)
      Ito Katsushi、Marino Marcos、Shu Hongfei
    • Journal Title

      Journal of High Energy Physics

      Volume: 2019 Issue: 1 Pages: 1-44

    • DOI

      10.1007/jhep01(2019)228

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Massive ODE/IM correspondence and nonlinear integral equations for Ar(1) -type modified affine Toda field equations2018

    • Author(s)
      Ito Katsushi、Shu Hongfei
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 51 Issue: 38 Pages: 385401-385401

    • DOI

      10.1088/1751-8121/aad63f

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] MHV amplitudes at strong coupling and linearized TBA equations2018

    • Author(s)
      Katsushi Ito, Yuji Satoh and Junji Suzuki
    • Journal Title

      Journal of High Energy Physics

      Volume: 1808 Issue: 8 Pages: 002-002

    • DOI

      10.1007/jhep08(2018)002

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum periods for N=2 SU(2) SQCD around the superconformal point2018

    • Author(s)
      Ito Katsushi、Okubo Takafumi
    • Journal Title

      Nuclear Physics B

      Volume: 934 Pages: 356-379

    • DOI

      10.1016/j.nuclphysb.2018.07.007

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] ODE/IM対応と超対称アファイン戸田場の方程式2023

    • Author(s)
      Mingshuo Zhu
    • Organizer
      日本物理学会2023年春季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] TBA equations and WKB periods for higher order ODE2022

    • Author(s)
      Katsushi Ito
    • Organizer
      "Physical resurgence: On quantum, gauge, and stringy", Applicable resurgent asymptotics: towards a universal theory, AR2W01
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA equations and WKB periods for higher order ODE2022

    • Author(s)
      Katsushi Ito
    • Organizer
      Gravity and Gravitational Wave Physics Workshop
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ODE/IM correspondence and WKB periods2022

    • Author(s)
      Katsushi Ito
    • Organizer
      Geometry, Representation Theory and Quantum Field
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] WKB periods for higher order ODE and TBA equations2021

    • Author(s)
      Katsushi Ito
    • Organizer
      ARA focus week "Exact quantisation/exact WKB and resurgence"
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA equations and WKB periods for higher order ODE2021

    • Author(s)
      Katsushi Ito
    • Organizer
      conference on Special Geometry, Mirror Symmetry and Integrable Systems
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA equations and resurgent quantum mechanics2020

    • Author(s)
      Katsushi Ito
    • Organizer
      2nd IIT Guwahati and TokyoTech Joint Workshop on Condensed Matter and High Energy Physics
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] quantum SW curves and ODE/IM correspondence2020

    • Author(s)
      Katsushi Ito
    • Organizer
      X workshop on geometric correspondences of gauge theories
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA equations and resurgent quantum mechanics2019

    • Author(s)
      Katsushi Ito
    • Organizer
      Workshop and School Topological Field Theories, String theory and Matrix Models, Lebedev Institute of Physics, Moscow
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Generalized ODE/IM correspondence2019

    • Author(s)
      Katsushi Ito
    • Organizer
      Workshop New Trends in Integrable Systems 2019,Osaka City University, Osaka
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] TBA equations and resurgent quantum mechanics2019

    • Author(s)
      Katsushi Ito
    • Organizer
      seminar at Nihon University
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] TBA equations and resurgent quantum mechanics2019

    • Author(s)
      Katsushi Ito
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] TBA equations and resurgent quantum mechanics2018

    • Author(s)
      Katsushi Ito
    • Organizer
      one-day workshop for QFT and string theory, Osaka City University, Osaka
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2018-04-23   Modified: 2024-01-30  

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