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symmetry and integrability of ADE matrix model probing critical phenomena of supersymmetric gauge theory by symmetry and integrability

Research Project

Project/Area Number 23K03394
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 InstitutionOsaka Metropolitan University

Principal Investigator

糸山 浩 (糸山浩司)  大阪公立大学, 南部陽一郎物理学研究所, 特任教授 (30243158)

Co-Investigator(Kenkyū-buntansha) 西中 崇博  大阪公立大学, 大学院理学研究科, 准教授 (20773021)
吉岡 礼治  大阪公立大学, 数学研究所, 特別研究員 (90514555)
Project Period (FY) 2023-04-01 – 2027-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2026: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2025: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2024: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2023: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
KeywordsADEquiver行列模型 / unitarization / irregular W block / ADE行列模型 / A-D臨界超曲面
Outline of Research at the Start

目的1)A-D面により隔てられる隣接相の特徴づけ;目的2)A2型2行列模型でのW3拘束式のdouble scaling limit;目的3)PIIにある非摂動効果とその拡張;目的4)A1型1行列模型に話を限り、theory sapceの更なる考察;目的5)Nf<2n-2の場合のWHITTACKER MODULEと有限サイズの行列模型の問題;目的6)ADE型行列模型の差分化・楕円化;目的7)N=1 CIV
gluino condensate prepotentialとの関係

Outline of Annual Research Achievements

本年度はN=2 AD臨界点を体現するGWW型のUNITARY行列模型の臨界現象について著しい進展があった。double scaling limitを利用してsuscepibility
functionに対する exp(-number/kappa)の形の非摂動効果を明示し、また元の行列模型の分配関数からあらわに計算する方法及び具体計算に成功した。

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

順調に進行していることに特に理由はない、必要ない。

Strategy for Future Research Activity

調書に書いた通り

Report

(1 results)
  • 2023 Research-status Report
  • Research Products

    (5 results)

All 2024 2023

All Journal Article (2 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results) Presentation (3 results) (of which Int'l Joint Research: 2 results,  Invited: 2 results)

  • [Journal Article] Large order behavior near the AD point: the case of N=2, su(2), N f =22024

    • Author(s)
      Chuan-Tsung Chan, H. Itoyama, R. Yoshioka
    • Journal Title

      Progress of Theoretical and Experimental Physics (accepted for publication)

      Volume: -

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Construction of irregular conformal/W block and flavor mass relations of N= 2 SUSY gauge theory from the An-1 quiver matrix model2023

    • Author(s)
      H. Itoyama, T. Oota and R. Yoshioka
    • Journal Title

      physics-letters-b

      Volume: 84 Pages: 137938-137938

    • DOI

      10.1016/j.physletb.2023.137938

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Presentation] Critical Phenomena around AD Singularities by Matrices2024

    • Author(s)
      Hiroshi Itoyama
    • Organizer
      international workshop "QFT and Related Mathematical Aspects 2024"
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Large order behavior near the A.D. point of probed by PII2023

    • Author(s)
      糸山 浩
    • Organizer
      日本物理学会2023年秋季大会東北大学
    • Related Report
      2023 Research-status Report
  • [Presentation] D-term dynamical supersymmetry breaking revisited2023

    • Author(s)
      Hiroshi Itoyama
    • Organizer
      East Asia Joint Workshop on Fields and Strings
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited

URL: 

Published: 2023-04-13   Modified: 2024-12-25  

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