Research of the nonperturbative structure of supersymmetric gauge theoies via numerical simulation

• Project/Area Number: 23740197
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Keio University
• Principal Investigator: MATSUURA So 慶應義塾大学, 商学部, 准教授 (70392123)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 超対称性 / 数値計算 / 格子ゲージ理論 / 行列模型

Outline of Final Research Achievements

Recent study on superstring theory has made it clear that supersymmetric gauge theories are key to approach to problems of early universe and quantum gravity. We have thus carried out our research in order to establish a way to study the supersymmetric gauge theories numerically.
As a result, we specified that the so called Sugino model is the most useful algorithm to simulate the supersymmetric gauge theories. The original Sugion model has an undesirable property that there exists many degenerated unphysical vacua. We solved this problem in an elegant way and established a foundation to study supersymmetric gauge theories in numerical way.

Research Products

• [Journal Article] Exact Results in Discretized Gauge Theories (2015)
  • Author(s): So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta
  • Journal Title: Prog. Theor. Exp. Phys. Volume: 3 Issue: 3
  • DOI: 10.1093/ptep/ptv021
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Lattice formulation for 2d N=(2, 2), (4, 4) super Yang-Mills theories without admissibility conditions (2014)
  • Author(s): So Matsuura, Fumihiko Sugino
  • Journal Title: Journal of High Energy Physics Volume: 14 Issue: 4 Pages: 88-88
  • DOI: 10.1007/jhep04(2014)088
  • Peer Reviewed / Open Access
• [Journal Article] . Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface (2014)
  • Author(s): So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta
  • Journal Title: Prog. Theor. Exp. Phys. Volume: 12 Issue: 12 Pages: 123B01-123B01
  • DOI: 10.1093/ptep/ptu153
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges (2012)
  • Author(s): Masanori Hanada, So Matsuura, Fumihiko Sugino
  • Journal Title: Nuclear Physics Volume: B857 Pages: 335-361
  • Peer Reviewed
• [Journal Article] Two-dimensional lattice for four-dimensional N=4 supersymmetric Yang-Mills (2011)
  • Author(s): Masanori Hanada, So Matsuura and Fumihiko Sugino
  • Journal Title: Progress of Theoretical Physics Volume: 126 Issue: 4 Pages: 597-611
  • DOI: 10.1143/ptp.126.597
  • NAID: 110008802397
  • Peer Reviewed
• [Presentation] 任意の単体分割上の超対称ゲージ理論の構成 (2014)
  • Author(s): 松浦壮
  • Organizer: 研究会「離散的手法による場 と時空のダイナミクス 2014 」
  • Place of Presentation: 慶應義塾大学 日吉キャンパス
  • Year and Date: 2014-09-12 – 2014-09-15
  • Invited
• [Presentation] 2次元N=(8,8)超対称ヤン・ミルズ理論の数値シミュレーションに関する報告 (2012)
  • Author(s): 松浦 壮
  • Organizer: 日本物理学会 第67回年次大会
  • Place of Presentation: 関西学院大学
• [Presentation] Hybrid Discretization of 4D N=4 SYM (2012)
  • Author(s): So Matsuura
  • Organizer: KITP program: Novel Numerical Methods for Strongly Coupled Quantum Field Theory and Quantum Gravity
  • Place of Presentation: Kavli Institute for Theoretical Physics
• [Presentation] 行列正則化した4次元N=4超対称ヤン・ミルズ理論の量子補正について (2011)
  • Author(s): 松浦 壮
  • Organizer: 日本物理学会 2011年秋季大会
  • Place of Presentation: 弘前大学
• [Presentation] Exact Results in Supersymmetric Lattice Gauge Theories
  • Author(s): 松浦壮, 三角樹弘, 太田和俊
  • Organizer: 日本物理学会 第69回年次大会
  • Place of Presentation: 神奈川県平塚市 東海大学湘南キャンパス
• [Presentation] 数値計算に基づく2次元N=(8,8)超対称ヤン・ミルズ理論の解析
  • Author(s): 松浦壮, 花田政範
  • Organizer: 日本物理学会 2013年秋季大会
  • Place of Presentation: 高知県高知市 高知大学朝倉キャンパス