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Researches into lower dimensional gauge theories by using the localization method

Research Project

Project/Area Number 26400256
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionMeiji Gakuin University

Principal Investigator

OHTA Kazutoshi  明治学院大学, 法学部, 准教授 (80442937)

Research Collaborator SAKAI Norisuke  
SASAI Yuya  
MATSUURA So  
MISUMI Tatsuhiro  
KAMATA Syo  
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords超対称ゲージ理論 / 超弦理論 / 局所化 / クイバー量子力学 / 格子ゲージ理論 / 超対称指数 / 超重力理論 / 行列模型 / ヴォーテックス / BPS方程式 / グラフ理論 / 超対称量子力学 / クイバーゲージ理論
Outline of Final Research Achievements

In quantization of supersymmetric theory, where there exists an exchange symmetry between boson and fermions, we can evaluate exactly the path integral by a cancellation of the contribution from boson and fermions. This phenomenon or method is called the “localization”, which is effective and important method in evaluating observables of the supersymmetric gauge theories.
We applied this localization method for (0+1)-dimensional quiver quantum mechanics and 2-dimensional discretized Yang-Mills theory and obtained deeper understandings about theoretical structure of lower dimensional supersymmetric gauge theories.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (8 results)

All 2017 2016 2015 2014

All Journal Article (6 results) (of which Peer Reviewed: 5 results,  Open Access: 6 results,  Acknowledgement Compliant: 6 results) Presentation (2 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Anomaly and sign problem in N=(2,2) SYM on polyhedra: Numerical analysis2016

    • Author(s)
      Sho Kamata, So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 16 Issue: 12 Pages: 123B01-123B01

    • DOI

      10.1093/ptep/ptw153

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Numerical Analysis of Discretized N=(2,2) SYM on Polyhedra2016

    • Author(s)
      Syo Kamata, So Matsuura, Tatsuhiro Misumi and Kazutoshi Ohta
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2016 Pages: 210-210

    • Related Report
      2016 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Coulomb Branch Localization in Quiver Quantum Mechanics2016

    • Author(s)
      Kazutoshi Ohta, Yuya Sasai
    • Journal Title

      Journal of High Energy Physics

      Volume: 106 Issue: 2 Pages: 32-32

    • DOI

      10.1007/jhep02(2016)106

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Exact Results in Discretized Gauge Theories2015

    • Author(s)
      So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 3 Issue: 3

    • DOI

      10.1093/ptep/ptv021

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting2014

    • Author(s)
      Kazutoshi Ohta and Yuya Sasai
    • Journal Title

      JHEP

      Volume: 1411 Issue: 11 Pages: 123-123

    • DOI

      10.1007/jhep11(2014)123

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] . Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface2014

    • 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

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Higgs and Coulomb Branch Description of the Volume of the Vortex Moduli Space2017

    • Author(s)
      Kazutoshi Ohta
    • Organizer
      Progress in Quantum Field Theory and String Theory II
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Exact results in quiver quantum mechanics and BPS bound state counting2015

    • Author(s)
      太田和俊, 笹井裕也
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学 早稲田キャンパス
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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