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

• Project/Area Number: 23K03394
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
• Research Institution: Osaka 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: ¥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)
• Keywords: ADEquiver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

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

Research Products

• [Journal Article] Large order behavior near the AD point: the case of N=2, su(2), N f =2 (2024)
  • Author(s): Chuan-Tsung Chan, H. Itoyama, R. Yoshioka
  • Journal Title: Progress of Theoretical and Experimental Physics (accepted for publication) Volume: -
  • 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 model (2023)
  • 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
  • Peer Reviewed
• [Presentation] Critical Phenomena around AD Singularities by Matrices (2024)
  • Author(s): Hiroshi Itoyama
  • Organizer: international workshop "QFT and Related Mathematical Aspects 2024"
  • Int'l Joint Research / Invited
• [Presentation] Large order behavior near the A.D. point of probed by PII (2023)
  • Author(s): 糸山 浩
  • Organizer: 日本物理学会2023年秋季大会東北大学
• [Presentation] D-term dynamical supersymmetry breaking revisited (2023)
  • Author(s): Hiroshi Itoyama
  • Organizer: East Asia Joint Workshop on Fields and Strings
  • Int'l Joint Research / Invited