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Studies of non-perturbative effects in supersymmetric theories by the localization method

Research Project

Project/Area Number 19740120
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTohoku University

Principal Investigator

OHTA Kazutoshi  Tohoku University, 法学部, 専任講師 (80442937)

Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,860,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywords素粒子論 / 数理物理 / 超対称理論 / 非摂動効果 / 局所化の方法 / 行列模型 / 低次元ゲージ理論 / ソリトン / 低次元ゲージ
Research Abstract

I have studied various problems in gauge theory, which especially possesses the sypersymmetry, by using perturbative/non-perturbative methods and superstring theory. I have investigated mainly the following 6 themes in the period of my research project:
(1) Matrix regularization of 3 dimensional Chern-Simons theory and 2 dimensional BF theory and Localization
(2) Solitons in supersymmetric gauge theory and tropical geometry
(3) Understanding of spontaneous supersymmetry breaking via brane configurations in superstring theory
(4) Analysis of duality cascades in supersymmetric gauge theories by the renormalization group flow
(5) Novel mechanism of the gauge field localization on the domain-walls
(6) Evaluation of the volume of the moduli space of BPS vortices by the localization method

Report

(6 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (31 results)

All 2010 2008 2007 Other

All Journal Article (17 results) (of which Peer Reviewed: 17 results) Presentation (13 results) Remarks (1 results)

  • [Journal Article] Non-Abelian Gauge Field Localized on Walls with Four-Dimensional World Volume.2010

    • Author(s)
      K.Ohta, N.Sakai.
    • Journal Title

      Prog. Theor. Phys. 124

      Pages: 71-93

    • NAID

      110007703067

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Non-Abelian Gauge Field Localized on Walls with Four-Dimensional World Volume2010

    • Author(s)
      K.Ohta, N.Sakai
    • Journal Title

      Progress of Theoretical Physics

      Volume: 124 Pages: 71-93

    • NAID

      110007703067

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On relationships among Chern-Simons theory, BF theory and matrix model.2008

    • Author(s)
      T.Ishii, G.Ishiki,K.Ohta, S.Shimasaki, A.Tsuchiya.
    • Journal Title

      Prog. Theor. Phys. 119

      Pages: 863-882

    • NAID

      110006684307

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Intersecting Solitons, Amoeba and Tropical Geometry.2008

    • Author(s)
      T.Fujimori, M.Nitta, K.Ohta, N.Sakai, M.Yamazaki.
    • Journal Title

      Phys. Rev. D78

      Pages: 105004-105004

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extended MQCD and SUSY/non-SUSY duality.2008

    • Author(s)
      K.Ohta, T-S.Tai.
    • Journal Title

      JHEP0809

      Pages: 33-33

    • NAID

      110007230564

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Duality cascade of softly broken supersymmetric theories.2008

    • Author(s)
      H.Abe, T.Higaki, T.Kobayashi, K.Ohta, Y.Omura, H.Terao.
    • Journal Title

      Phys. Rev. D79

      Pages: 45003-45003

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two-Dimensional Gauge Theory and Matrix Model.2008

    • Author(s)
      G.Ishiki, K.Ohta, S.Shimasaki, A.Tsuchiya.
    • Journal Title

      Phys. Lett. B672

      Pages: 289-293

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] On relationships among Chern-Simons theory, BF theory and matrix model2008

    • Author(s)
      T. Ishii, G. Ishiki, K. Ohta, S. Shimasaki, A. Tsuchiya
    • Journal Title

      Prog. Theor. Phys. 119

      Pages: 863-882

    • NAID

      110006684307

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Intersecting Solitons, Amoeba and Tropical Geometry2008

    • Author(s)
      T. Fujimori, M. Nitta, K. Ohta, N. Sakai, M. Yamazaki
    • Journal Title

      Phys. Rev. D 78

      Pages: 105004-105004

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Extended MQCD and SUSY/non-SUSY duality2008

    • Author(s)
      K. Ohta, T-S. Tai
    • Journal Title

      JHEP 0809

      Pages: 33-33

    • NAID

      110007230564

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Duality cascade of softly broken supersymmetric theories2008

    • Author(s)
      H. Abe, T. Higaki, T. Kobayashi, K. Ohta, Y. Omura, H. Terao
    • Journal Title

      Phys. Rev. D 79

      Pages: 45003-45003

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Two-Dimensional Gauge Theory and Matrix Model2008

    • Author(s)
      G. Ishiki, K. Ohta, S. Shimasaki, A. Tsuchiya
    • Journal Title

      Phys. Lett. B 672

      Pages: 289-293

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] On relationships among Chern-Simons theory, BF theory and matrix model2008

    • Author(s)
      T. Ishii
    • Journal Title

      Prog. Theor. Phys 119

      Pages: 863-882

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intersecting Solitons, Amoeba and Tropical Geometry2008

    • Author(s)
      T. Fujimori
    • Journal Title

      Phys. Rev D78

      Pages: 105004-105004

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extended MQCD and SUSY/non-SUSY duality2008

    • Author(s)
      Kazutoshi Ohta
    • Journal Title

      JHEP 0809

      Pages: 33-33

    • NAID

      110007230564

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Duality cascade of softly broken supersymmetric theories2008

    • Author(s)
      H. Abe
    • Journal Title

      Phys. Rev D79

      Pages: 45003-45003

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-Dimensional Gauge Theory and Matrix Model2008

    • Author(s)
      G. Ishiki
    • Journal Title

      Phys. Lett B672

      Pages: 289-293

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 超対称ゲージ理論とトロピカル幾何2008

    • Author(s)
      太田和俊
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] N=1*行列模型による2次元BF理論と3次元Chern-Simons理論の記述について2008

    • Author(s)
      島崎信二
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] 超対称ゲージ理論とトロピカル幾何(企画講演)2008

    • Author(s)
      太田和俊
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] N=1^*行列模型による2次元BF理論と3次元Chern-Simons理論の記述について2008

    • Author(s)
      島崎信二
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Chern-Simons理論と2次元BF理論の行列模型による記述について2008

    • Author(s)
      伊敷吾郎
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Chern-Simons理論と2次元BF理論の行列模型による記述について2008

    • Author(s)
      伊敷 吾郎
    • Organizer
      日本物理学会 第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Chern-Simons理論と2次元BF理論の関係と位相的弦理論2007

    • Author(s)
      伊敷吾郎
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-24
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Chern-Simons理論と2次元BF理論の関係と位相的弦理論2007

    • Author(s)
      伊敷吾郎
    • Organizer
      日本物理学会 第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] 位相的場の理論の格子正則化2007

    • Author(s)
      瀧見知久
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] 位相的場の理論の格子正則化2007

    • Author(s)
      瀧見知久
    • Organizer
      日本物理学会 第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Counting BPS solitons and applications2007

    • Author(s)
      太田和俊
    • Organizer
      15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY07)
    • Place of Presentation
      カールスルーエ(ドイツ)
    • Year and Date
      2007-07-31
    • Related Report
      2010 Final Research Report
  • [Presentation] Counting BPS solitons and applications2007

    • Author(s)
      太田和俊
    • Organizer
      15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY07)
    • Place of Presentation
      カールスルーエ(ドイツ
    • Year and Date
      2007-07-31
    • Related Report
      2009 Self-evaluation Report
  • [Presentation] Counting BPS solitons and applications2007

    • Author(s)
      太田 和俊
    • Organizer
      15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY07)
    • Place of Presentation
      カールスルーエ,ドイツ
    • Year and Date
      2007-07-31
    • Related Report
      2007 Annual Research Report
  • [Remarks] A.Miyake, K.Ohta, N.Sakai、Volume of Moduli Space of Vortex Equations and Localization、arXiv:1105.2087 [hep-th]、雑誌投稿中

    • Related Report
      2010 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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