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Studies of Superstrings on Non-trivial Backgrounds by Conformal Field Theory and Applications to Elementary Particle Physics

Research Project

Project/Area Number 23540322
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 InstitutionRitsumeikan University

Principal Investigator

Sugawara Yuji  立命館大学, 理工学部, 教授 (70291333)

Research Collaborator WADA Taiki  立命館大学, 大学院理工学研究科, 大学院生
Project Period (FY) 2011-04-28 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords共形場理論 / 超弦理論 / モックモジュラー形式 / 非幾何学的背景 / 数理物理学 / 素粒子物理学 / mock modular form / 非対称オービフォルド / 素粒子論
Outline of Final Research Achievements

The main purpose of this research project was to present inclusive studies of superstrings on various non-trivial backgrounds, which would be geometrical or non-geometrical, based on the approach by the conformal field theory on string world-sheets. I have especially focused on detailed aspects of some non-compact superconformal theories, and uncovered their characteristic features of the 'holomorphic anomalies' from physical and mathematical viewpoints.
I have also investigated various non-geometric superstring vacua, and above all, succeeded in constructing the new simple models of non-supersymmetric vacua based on the 'asymmetric orbifolds'. This result would be of great significance, since it may contribute to solving the issue of very small cosmological constant (or dark energy) in our universe.

Report

(6 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (26 results)

All 2016 2015 2014 2012 2011 Other

All Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 4 results,  Acknowledgement Compliant: 3 results) Presentation (17 results) (of which Invited: 7 results)

  • [Journal Article] Non-supersymmetric asymmetric orbifolds with vanishing cosmological constant2016

    • Author(s)
      Yuji Satoh, Yuji Sugawara and Taiki Wada
    • Journal Title

      Journal of High Energy Physics

      Volume: 02 Issue: 2 Pages: 184-184

    • DOI

      10.1007/jhep02(2016)184

    • NAID

      120007129565

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Duality in N=4 Liouville Theory and Moonshine Phenomena2016

    • Author(s)
      Tohru Eguchi, Yuji Sugawara
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Non-geometric backgrounds based on topological interfaces2015

    • Author(s)
      Yuji Satoh and Yuji Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 07 Issue: 7 Pages: 022-022

    • DOI

      10.1007/jhep07(2015)022

    • NAID

      120007135839

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Compact formulas for the completed mock modular forms2014

    • Author(s)
      T. Eguchi and Y. Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 2014 Issue: 11 Pages: 1-28

    • DOI

      10.1007/jhep11(2014)156

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 'Analytic Continuation' of N=2 Minimal Model2014

    • Author(s)
      Y. Sugawara
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 043B02 Issue: 4 Pages: 1-23

    • DOI

      10.1093/ptep/ptu033

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Thermodynamics of Superstring on Near-extremal NS5 and Effective Hagedorn Behavior2012

    • Author(s)
      Yuji Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: JHEP 10 (2012) 159 Issue: 10 Pages: 1-27

    • DOI

      10.1007/jhep10(2012)159

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comments on Non-holomorphic Modular Forms and Non-compact Superconformal Field Theories2012

    • Author(s)
      Yuji Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 1201

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory2011

    • Author(s)
      Tohru Eguchi, Yuji Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 1103

    • NAID

      120003437137

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Modular Forms and Elliptic Genera for ALE Spaces2011

    • Author(s)
      Tohru Eguchi, Yuji Sugawara, Anne Taormina
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 61 Pages: 125-159

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Non-SUSY Asymmetric Orbifolds with Vanishing Cosmological Constant2016

    • Author(s)
      和田大樹
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-22
    • Related Report
      2015 Annual Research Report
  • [Presentation] CFT Approach to Non-geometric String Backgrounds2016

    • Author(s)
      菅原祐二
    • Organizer
      素粒子理論研究会2016~量子場理論・超弦理論の進展~
    • Place of Presentation
      立教大学(東京都豊島区)
    • Year and Date
      2016-03-16
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] N=4 Liouville Theory and Modular Completions2015

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪市立大学(大阪府大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] Non-Geometric Backgrounds based on Topological Interfaces2015

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会(年次大会)
    • Place of Presentation
      早稲田大学 (東京都)
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Non-holomorphic Poincare Series and Mock Modular Forms2014

    • Author(s)
      Yuji Sugawara
    • Organizer
      International Workshop, ''String, Lattice and Moonshine''
    • Place of Presentation
      立教大学 (東京都)
    • Year and Date
      2014-12-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Non-holomorphic Eisenstein Series in Non-compact Superconformal Field Theories2014

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会(分科会)
    • Place of Presentation
      佐賀大学 (佐賀県)
    • Year and Date
      2014-09-19
    • Related Report
      2014 Research-status Report
  • [Presentation] SL(2)/U(1)-Supercoset Theory and Modular Completions (a series of 3 lectures)2014

    • Author(s)
      Yuji Sugawara
    • Organizer
      International Workshop, ``APCTP Focus Program, Liouville, Integrability and Branes (10)''
    • Place of Presentation
      Pohang, Korea
    • Year and Date
      2014-09-05 – 2014-09-06
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Modular Completions as Non-holomorphic Eisenstein-like Series2014

    • Author(s)
      Yuji Sugawara
    • Organizer
      International Workshop, ``Mock Modular Forms and Physics''
    • Place of Presentation
      Chennai, India
    • Year and Date
      2014-04-14
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 非正則モジュラー型式と非コンパクト超共形場理論2012

    • Author(s)
      菅原祐二
    • Organizer
      立教研究会「弦理論と場の理論における非摂動的手法」(招待講演)
    • Place of Presentation
      立教大学(東京都)
    • Related Report
      2011 Research-status Report
  • [Presentation] Near-extremal NS5背景上の超弦理論における厳密なトーラス分配関数について2012

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学(兵庫県)
    • Related Report
      2011 Research-status Report
  • [Presentation] 非正則モジュラー型式と非コンパクト超共形場理論2011

    • Author(s)
      菅原祐二
    • Organizer
      大阪素粒子セミナー(招待講演)
    • Place of Presentation
      大阪第2ビル(大阪府)
    • Related Report
      2011 Research-status Report
  • [Presentation] 非正則モジュラー型式と非コンパクト超共形場理論 : オービフォルド2011

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会
    • Place of Presentation
      弘前大学(青森県)
    • Related Report
      2011 Research-status Report
  • [Presentation] Elliptic Genera of Non-compact Gepner Models Based on Modular Completions

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会
    • Place of Presentation
      高知大学 (高知県)
    • Related Report
      2013 Research-status Report
  • [Presentation] Modular Completions as 'Non-holomorphic Eisenstein Series'

    • Author(s)
      菅原祐二
    • Organizer
      研究会「頂点作用素代数と超弦理論」
    • Place of Presentation
      立教大学 (東京都)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Some Topics on the Modular Completions in SL(2)/U(1) Supercoset Theory

    • Author(s)
      菅原祐二
    • Organizer
      JSPS/RFBR研究会
    • Place of Presentation
      立命館大学 (滋賀県)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] N=2およびN=4超共形場理論におけるmodular completionについて

    • Author(s)
      菅原祐二
    • Organizer
      信州大学研究会 「場の数理とトポロジー」
    • Place of Presentation
      信州大学(長野県)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A Non-compact Analogue of N=2 Minimal Model

    • Author(s)
      菅原祐二
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Related Report
      2012 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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