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Research in dualities using exact results in gauge theories

Research Project

Project/Area Number 24540260
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 InstitutionTokyo Institute of Technology

Principal Investigator

IMAMURA Yosuke  東京工業大学, 理工学研究科, 准教授 (80323492)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywordsゲージ理論 / 双対性 / 超対称性 / 局所化法 / 分配関数 / M理論 / 弦理論 / 局所化 / 3次元 / 5次元
Outline of Final Research Achievements

In particle physics it is important to understand how the interactions among particles affect the behavior of the system. When the interactions are strong no general prescription to handle them are known, and we should use different methods depending on the problems. For theories with supersymmetry (symmetry between bosons and fermions) we can calculate some observables exactly by using ``localization method.'' In this research I found some new formulae of the partition functions of three- and five-dimensional gauge theories in some backgrounds, and succeeded in confirming some dualities (Equivalence of two theories that look different from each other).

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (8 results)

All 2014 2013 2012

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (4 results) (of which Invited: 3 results)

  • [Journal Article] Supersymmetric backgrounds from 5d N=1 supergravity2014

    • Author(s)
      Yosuke Imamura and Matsuno HIroki
    • Journal Title

      Journal of High Energy Physics

      Volume: 1407 Issue: 7 Pages: 0-26

    • DOI

      10.1007/jhep07(2014)055

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Factorization of S^3/Z_n partition function2014

    • Author(s)
      Yosuke Imamura, Hiroki Matsuno, and Daisuke Yokoyama
    • Journal Title

      Physical Review D

      Volume: 89 Issue: 8 Pages: 85003-85003

    • DOI

      10.1103/physrevd.89.085003

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Matter Fields and Non-Abelian Gauge Fields Localized on Walls2013

    • Author(s)
      M. Arai, F. Blaschke, M. Eto and N. Sakai
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 2013 Issue: 1 Pages: 13B04-0

    • DOI

      10.1093/ptep/pts052

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] S^3/Z_n partition function and dualities2012

    • Author(s)
      Yosuke Imamura and Daisuke Yokoyama
    • Journal Title

      Journal of High Energy Physics

      Volume: 11 Issue: 11 Pages: 122-122

    • DOI

      10.1007/jhep11(2012)122

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Factorization of S^3/Z_n partition function2014

    • Author(s)
      今村 洋介
    • Organizer
      学振二国間交流事業共同研究ロシアとの共同研究 取りまとめ研究会
    • Place of Presentation
      KKRホテルびわこ
    • Related Report
      2013 Research-status Report
  • [Presentation] Factorization of S^3/Z_n partition function2014

    • Author(s)
      今村 洋介
    • Organizer
      Supersymmetry in Physics and Mathematics
    • Place of Presentation
      カブリ数物連携宇宙研究機構
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 5次元Yang-Mills理論についての最近の話題2013

    • Author(s)
      今村 洋介
    • Organizer
      場の理論と弦理論
    • Place of Presentation
      基礎物理学研究所
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 超対称理論の分配関数に関する最近の進展2013

    • Author(s)
      今村 洋介
    • Organizer
      日本物理学会2013年秋期大会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2013-05-31   Modified: 2019-07-29  

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