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Spontaneous symmetry breaking in nonperturbative string theory

Research Project

Project/Area Number 25400274
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 InstitutionKagawa National College of Technology (2015-2016)
Nagoya University (2013-2014)

Principal Investigator

Kuroki Tsunehide  香川高等専門学校, 一般教育科(詫間キャンパス), 准教授 (40442959)

Research Collaborator KAWAMOTO Shoichi  
Endres Michael G.  
SUGINO Fumihiko  
SUZUKI Hiroshi  
Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords弦理論 / 自発的対称性の破れ / 行列模型 / 超対称性 / 超弦理論 / 摂動級数 / resurgence / インスタントン / double scaling limit / 種数 / 繰り込み群 / 非局所場の理論
Outline of Final Research Achievements

We gave a rigorous nonperturbative definition of string theory in lower dimensions with supersymmetry, which is symmetry interchanging bosons and fermions, by taking a rank infinity limit of a supersymmetric matrix model (a model with matrices as dynamical variables). This is the first example of nonperturbative formulation of string theory with supersymmetry. Furthermore, we proved that in this theory, supersymmetry is preserved in all order with respect to a parameter of this model, while nonperturbatively, it gets broken spontaneously.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (22 results)

All 2017 2016 2015 2014 2013 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 3 results,  Acknowledgement Compliant: 3 results) Presentation (14 results) (of which Int'l Joint Research: 5 results,  Invited: 3 results) Remarks (3 results)

  • [Journal Article] One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings2017

    • Author(s)
      T. Kuroki and F. Sugino
    • Journal Title

      Nucl. Phys.

      Volume: B 919 Pages: 325-358

    • DOI

      10.1016/j.nuclphysb.2017.03.018

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models2015

    • Author(s)
      S. Kawamoto and T. Kuroki
    • Journal Title

      JHEP

      Volume: 1506 Issue: 6

    • DOI

      10.1007/jhep06(2015)062

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Renormalization group approach to matrix models via noncommutative space2014

    • Author(s)
      T. Kuroki, S. Kawamoto and D. Tomino
    • Journal Title

      Fortsch. Phys.

      Volume: 62 Issue: 9-10 Pages: 792-796

    • DOI

      10.1002/prop.201400032

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Supersymmetric double-well matrix model as two-dimensional type IIA superstring on RR background2014

    • Author(s)
      T. Kuroki and F. Sugino
    • Journal Title

      JHEP

      Volume: 1403 Issue: 3 Pages: 6-6

    • DOI

      10.1007/jhep03(2014)006

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings2013

    • Author(s)
      Michael G. Endres, Tsunehide Kuroki, Fumihiko Sugino, Hiroshi Suzuki
    • Journal Title

      Nuclear Physics B

      Volume: 876 Issue: 3 Pages: 758-793

    • DOI

      10.1016/j.nuclphysb.2013.09.005

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Correlation functions of non-SUSY operators at arbitrary genus in a matrix model for noncritical superstrings2017

    • Author(s)
      Tsunehide Kuroki
    • Organizer
      Workshop on String and M-theory in Okinawa
    • Place of Presentation
      Okinawa Institute of Science and Technology Graduate University (OIST)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Large order behavior and resurgence in correlation functions of non-SUSY operators in matrix model for noncritical superstrings2017

    • Author(s)
      黒木経秀
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学
    • Related Report
      2016 Annual Research Report
  • [Presentation] Resurgence in supersymmetric matrix model2016

    • Author(s)
      黒木経秀、杉野文彦
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Correlation functions at arbitrary genus in noncritical superstring theory2016

    • Author(s)
      Tsunehide Kuroki
    • Organizer
      YITP Workshop Strings and Fields 2016
    • Place of Presentation
      Yukawa Institute for Theoretical Physics
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 超対称行列模型における超対称不変でない多点関数の摂動級数2016

    • Author(s)
      黒木経秀
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      宮崎大学
    • Related Report
      2016 Annual Research Report
  • [Presentation] Correlation functions of non-SUSY operators at arbitrary genus in a matrix model for noncritical superstrings2016

    • Author(s)
      Tsunehide Kuroki
    • Organizer
      KEK Theory Workshop 2016
    • Place of Presentation
      HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION, KEK
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonperturbative ambiguity and instanton in supersymmetric matrix model2015

    • Author(s)
      T. Kuroki
    • Organizer
      KEK Theory Workshop
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2015-12-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Large order behavior and instanton action in supersymmetric matrix model2015

    • Author(s)
      T. Kuroki
    • Organizer
      YITP Workshop Field Theory and String Theory
    • Place of Presentation
      京都大学
    • Year and Date
      2015-11-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models2015

    • Author(s)
      河本祥一、黒木経秀
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-09-28
    • Related Report
      2015 Research-status Report
  • [Presentation] 超対称性を持つ行列模型のlarge order behaviorとインスタントン作用2015

    • Author(s)
      黒木経秀、杉野文彦
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-09-26
    • Related Report
      2015 Research-status Report
  • [Presentation] SUSY breaking in noncritical superstring theory2014

    • Author(s)
      黒木経秀
    • Organizer
      Strings 2014
    • Place of Presentation
      Princeton University
    • Year and Date
      2014-06-23 – 2014-06-27
    • Related Report
      2014 Research-status Report
  • [Presentation] Spontaneous supersymmetry breaking in noncritical covariant superstring theory2014

    • Author(s)
      黒木経秀
    • Organizer
      日本物理学会第69回年次大会 第8回中村誠太郎賞受賞講演
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Spontaneous supersymmetry breaking in noncritical covariant superstring theory2014

    • Author(s)
      黒木経秀
    • Organizer
      Iberian Strins 2014
    • Place of Presentation
      Palencia, Spain
    • Related Report
      2013 Research-status Report
  • [Presentation] Spontaneous supersymmetry breaking in noncritical covariant superstring theory2013

    • Author(s)
      黒木経秀
    • Organizer
      Progress in the synthesis of integrabilities arising from gauge-string duality
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] 黒木経秀特任助教(基礎理論研究センター)が素粒子奨学会2013年度(第8回)中村誠太郎賞を受賞

    • URL

      http://www.kmi.nagoya-u.ac.jp/CT/jpn/news/2013/2013.php

    • Related Report
      2013 Research-status Report
  • [Remarks] 第4回:超弦理論ー行列模型でみえた超対称性の自発的破れ(2014年2月)

    • URL

      http://www.kmi.nagoya-u.ac.jp/jpn/spotlight/spotlight04.php

    • Related Report
      2013 Research-status Report
  • [Remarks] 黒木経秀特任助教 素粒子奨学会2013年度(第8回)中村誠太郎賞 授賞式 受賞講演

    • URL

      http://www.kmi.nagoya-u.ac.jp/jpn/news/2014/2013.php

    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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