• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2012 Fiscal Year Final Research Report

Study of lattice formulations for supersymmetric gauge theories and their nonperturbative aspects

Research Project

  • PDF
Project/Area Number 21540290
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOkayama Institute for Quantum Physics

Principal Investigator

SUGINO Fumihiko  岡山光量子科学研究所, 専門研究員 (60393419)

Co-Investigator(Kenkyū-buntansha) NINOMIYA Masao  岡山光量子科学研究所, 所長 (40198536)
Co-Investigator(Renkei-kenkyūsha) SUZUKI Hiroshi  独立行政法人理化学研究所, 初田量子ハドロン物理学研究室, 専任研究員 (90250977)
KIKUKAWA Yoshio  東京大学, 総合文化研究科, 准教授 (20252421)
Project Period (FY) 2009 – 2012
Keywords素粒子理論 / 格子ゲージ理論 / 超対称性 / 行列模型
Research Abstract

We constructed two kinds of lattice models for two-dimensional N=(2,2) supersymmetric QCD each of which preserves one of supercharges. Next, we formulated a lattice theory without instability for two-dimensional N=(8,8) super Yang-Mills theory by introducing mass terms. Applying to the above result a method that creates spatial dimensions from matrices, we discussed a procedure to obtain N=4 super Yang-Mills theory in four dimensions without any fine tuning. Also, we found correspondence of a supersymmetric double-well matrix model with two-dimensional type IIA superstring theory on a nontrivial background.

  • Research Products

    (48 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (17 results) (of which Peer Reviewed: 13 results) Presentation (24 results) Book (2 results) Remarks (5 results)

  • [Journal Article] Recent development of supersymmetric gauge theories on lattice2013

    • Author(s)
      Fumihiko Sugino
    • Journal Title

      International Journal of Modern Physics: Conference Series 21

      Pages: 22-41

    • DOI

      DOI: 10.1142/S2010194513009380

    • Peer Reviewed
  • [Journal Article] New critical behavior in a supersymmetric double-well matrix model2013

    • Author(s)
      Tsunehide Kuroki and Fumihiko Sugino
    • Journal Title

      Nuclear Physics

      Volume: B867 Pages: 448-482

    • DOI

      DOI: 10.1016/j.nuclphysb.2012.09.020

    • Peer Reviewed
  • [Journal Article] Spontaneous Breaking of Supersymmetry, Localization and Nicolai Mapping in Matrix Models2013

    • Author(s)
      Fumihiko Sugino
    • Journal Title

      Lie Theory and Its Applications in Physics: IXth International Workshop, Springer Proceedings in Mathematics & Statistics

      Volume: 36 Pages: 169-180

    • URL

      http://www.springer.com/mathematics/algebra/book/978-4-431-54269-8

    • Peer Reviewed
  • [Journal Article] Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping2012

    • Author(s)
      Fumihiko Sugino
    • Journal Title

      Journal of Physics: Conference Series 343

      Pages: 12117

    • DOI

      DOI: 10.1088/1742-6596/343/1/012117

    • Peer Reviewed
  • [Journal Article] Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges2012

    • Author(s)
      Masanori Hanada, So Matsuura and Fumihiko Sugino
    • Journal Title

      Nuclear Physics

      Volume: B857 Pages: 335-361

    • DOI

      DOI: 10.1016/j.nuclphysb.2011.12.014

    • Peer Reviewed
  • [Journal Article] Possible origin of CMB temperature fluctuations Kaluza-Klein and string states during inflationary era2012

    • Author(s)
      Yoshinobu Habara, Hikaru Kawai, Masao Ninomiya and Yasuhiro Sekino
    • Journal Title

      Physical Reviews

      Volume: D85 Pages: 104027

    • DOI

      DOI: 10.1103/PhysRevD.85.104027

    • Peer Reviewed
  • [Journal Article] CMB Fluctuations and String Compactification Scales2012

    • Author(s)
      Yoshinobu Habara, Hikaru Kawai, Masao Ninomiya and Yasuhiro Sekino
    • Journal Title

      CMB Fluctuations and String Compactification Scales

      Volume: B707 Pages: 198-202

    • DOI

      DOI: 10.1016/j.physletb.2011.12.018

    • Peer Reviewed
  • [Journal Article] Recent progress of lattice and non-lattice super Yang-Mills2011

    • Author(s)
      Masanori Hanada, Issaku Kanamori, So Matsuura and Fumihiko Sugino
    • Journal Title

      Pos LATTICE2011

      Pages: 243

    • URL

      http://pos.sissa.it/archive/conferences/139/243/Lattice%202011_243.pdf

  • [Journal Article] Systematic study of SO(10) symmetry breaking vacua in the matrix model for type IIB superstrings2011

    • Author(s)
      Jun Nishimura, Toshiyuki Okubo and Fumihiko Sugino
    • Journal Title

      Journal of High Energy Physics

      Volume: 10 Pages: 135

    • DOI

      DOI: 10.1007/JHEP10(2011)135

    • Peer Reviewed
  • [Journal Article] Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping2011

    • Author(s)
      Tsunehide Kuroki and Fumihiko Sugino
    • Journal Title

      Nuclear Physics

      Volume: B844 Pages: 409-449

    • DOI

      DOI: 10.1016/j.nuclphysb.2010.11.015

    • Peer Reviewed
  • [Journal Article] Two-dimensional lattice for four-dimensional N=4 supersymmetric Yang-Mills2011

    • Author(s)
      Masanori Hanada, So Matsuura and Fumihiko Sugino
    • Journal Title

      Progress of Theoretical Physics

      Volume: 126 Pages: 597-611

    • DOI

      DOI: 10.1143/PTP.126.597

    • Peer Reviewed
  • [Journal Article] Ginsparg-Wilson formulation of 2D N=(2,2) SQCD with exact lattice supersymmetry2010

    • Author(s)
      Yoshio Kikukawa and Fumihiko Sugino
    • Journal Title

      AIP conference Proceedings

      Volume: 1243 Pages: 201-212

    • DOI

      DOI: 10.1063/1.3460166

  • [Journal Article] Spontaneous supersymmetry breaking in large-N matrix models with slowly varying potential2010

    • Author(s)
      Tsunehide Kuroki and Fumihiko Sugino
    • Journal Title

      Nuclear Physics

      Volume: B830 Pages: 434-473

    • DOI

      DOI: 10.1016/j.nuclphysb.2009.12.021

    • Peer Reviewed
  • [Journal Article] Lattice formulation of 2D N=(2,2) SQCD based on the B model twist2009

    • Author(s)
      Daisuke Kadoh, Fumihiko Sugino and Hiroshi Suzuki
    • Journal Title

      Nuclear Physics

      Volume: B820 Pages: 99-115

    • DOI

      DOI: 10.1016/j.nuclphysb.2009.05.012

    • Peer Reviewed
  • [Journal Article] Ginsparg-Wilson formulation of 2D N=(2,2) SQCD with exact lattice supersymmetry2009

    • Author(s)
      Yoshio Kikukawa and Fumihiko Sugino
    • Journal Title

      Nuclear Physics

      Volume: B819 Pages: 76-115

    • DOI

      DOI: 10.1016/j.nuclphysb.2009.04.007

    • Peer Reviewed
  • [Journal Article] Lattice formulation of 2D SQCD with exact supersymmetry2009

    • Author(s)
      Fumihiko Sugino
    • Journal Title

      AIP conference Proceedings

      Volume: 1078 Pages: 426-428

    • DOI

      DOI: 10.1063/1.3051982

  • [Journal Article] Two-dimensional lattice for four-dimensional supersymmetric Yang-Mills

    • Author(s)
      Fumihiko Sugino
    • Journal Title

      Proceedings of the 6^<th> Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics

      Pages: 282-302

  • [Presentation] 超対称非臨界弦理論における超対称性の自発的破れ2013

    • Author(s)
      M. G. Endres, 黒木 経秀, 杉野 文彦, 鈴木 博,
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27
  • [Presentation] Lectures on SUSY on lattice2012

    • Author(s)
      杉野 文彦
    • Organizer
      計算基礎科学レクチャー「超対称性をもつ場の理論の格子定式化の基礎と応用
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2012-12-18
  • [Presentation] A SUSY double-well matrix model for 2D IIA superstrings2012

    • Author(s)
      Fumihiko Sugino
    • Organizer
      滞在型国際研究会 Gauge/gravity duality
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2012-10-24
  • [Presentation] A double-well SUSY matrix model for 2D type IIA superstrings in RR background2012

    • Author(s)
      京都大学基礎物理学研究所
    • Organizer
      7^<th> Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics
    • Place of Presentation
      ベオグラード大学(セルビア)
    • Year and Date
      2012-09-14
  • [Presentation] Nonperturbative formulation of covariant noncritical superstring with target space SUSY2012

    • Author(s)
      黒木 経秀, 杉野 文彦
    • Organizer
      日本物理学会 2012年秋季大会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2012-09-14
  • [Presentation] A double-well SUSY matrix model for 2D type IIA superstrings in RR background2012

    • Author(s)
      杉野 文彦
    • Organizer
      研究会「離散的手法による場と時空のダイナミクス」
    • Place of Presentation
      理化学研究所
    • Year and Date
      2012-08-31
  • [Presentation] A double-well SUSY matrix model for 2D type IIA superstrings2012

    • Author(s)
      Fumihiko Sugino
    • Organizer
      The XXIX International Colloquium on Group-Theoretical Methods in Physics
    • Place of Presentation
      南開大学(中国)
    • Year and Date
      2012-08-20
  • [Presentation] A double-well SUSY matrix model as 2D type IIA superstrings in RR background2012

    • Author(s)
      杉野 文彦
    • Organizer
      基研研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2012-07-25
  • [Presentation] Fumihiko Sugino2012

    • Author(s)
      Fumihiko Sugino
    • Organizer
      国際会議 Progress in Quantum Field Theory and String Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2012-04-03
  • [Presentation] Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      The VIIth International Conference: Quantum Theory and Symmetries
    • Place of Presentation
      チェコ工科大学(チェコ)
    • Year and Date
      2011-08-10
  • [Presentation] Perturbative check of the construction of 4D N=4 SYM from 2D lattice2011

    • Author(s)
      杉野 文彦
    • Organizer
      基研研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2011-07-27
  • [Presentation] Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      IX International Workshop: Lie Theory and Its Applications in Physics
    • Place of Presentation
      ブルガリア科学アカデミーゲストハウス(ブルガリア)
    • Year and Date
      2011-06-21
  • [Presentation] Supersymmetry on the Lattice IV2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Supersymmetry on the Lattice IV
    • Place of Presentation
      タタ基礎研究所(インド)
    • Year and Date
      2011-03-25
  • [Presentation] Supersymmetry on the Lattice III2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Asian School on Lattice Field Theory 2011
    • Place of Presentation
      タタ基礎研究所(インド)
    • Year and Date
      2011-03-24
  • [Presentation] Supersymmetry on the Lattice II2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Asian School on Lattice Field Theory 2011
    • Place of Presentation
      タタ基礎研究所(インド)
    • Year and Date
      2011-03-22
  • [Presentation] Supersymmetry on the Lattice I2011

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Supersymmetry on the Lattice I
    • Place of Presentation
      タタ基礎研究所(インド)
    • Year and Date
      2011-03-21
  • [Presentation] Two-dimensional lattice for four-dimensional supersymmetric Yang-Mills2010

    • Author(s)
      Fumihiko Sugino
    • Organizer
      6^<th> Mathematical Meeting: Summer School and Conference on Modern Mathematical Physics
    • Place of Presentation
      ベオグラード大学(セルビア)
    • Year and Date
      2010-09-22
  • [Presentation] Lattice Supersymmetry2010

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Strong Dynamics Beyond the Standard Model
    • Place of Presentation
      アスペン物理センター (米国)
    • Year and Date
      2010-06-11
  • [Presentation] Lattice formulation of supersymmetric gauge theories with exact supersymmetry2010

    • Author(s)
      アスペン物理センター (米国)
    • Organizer
      国際研究会 Komaba2010
    • Place of Presentation
      国際研究会 Komaba2010
    • Year and Date
      2010-02-13
  • [Presentation] Fumihiko Sugino2009

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Workshop ``Numerical approaches to AdS/CFT, large N and gravity"
    • Place of Presentation
      インペリアルカレッジ・ロンドン(英国)
    • Year and Date
      2009-10-01
  • [Presentation] 杉野 文彦2009

    • Author(s)
      杉野 文彦
    • Organizer
      日本物理学会 2009年秋季大会
    • Place of Presentation
      甲南大学岡本キャンパス
    • Year and Date
      2009-09-10
  • [Presentation] Lattice formulation of 2D N=(2,2) SQCD and twisted supercharges2009

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Lattice formulation of 2D N=(2,2) SQCD and twisted supercharges
    • Place of Presentation
      ケンタッキー大学(米国)
    • Year and Date
      2009-07-20
  • [Presentation] Ginsparg-Wilson formulation of 2D N=(2,2) SQCD with Exact Lattice Supersymmetry2009

    • Author(s)
      Fumihiko Sugino
    • Organizer
      Lie Theory and Its Applicatins in Physics VII
    • Place of Presentation
      ブルガリア科学アカデミーゲストハウス(ブルガリア)
    • Year and Date
      2009-06-16
  • [Presentation] Spontaneous Supersymmetry Breaking in Matrix Models from the Viewpoints of Localization and Nicolai Mapping

    • Author(s)
      杉野 文彦
    • Organizer
      KEK 理論研究会2011
    • Place of Presentation
      高エネルギー加速器研究機構
  • [Book] INTECH, Theoretical Concepts of Quantum Mechanics2012

    • Author(s)
      Mohammad Reza Pahlavani (editor), Fumihiko Sugino et al.
    • Total Pages
      598(本研究代表者担当分 383-408)
  • [Book] 量子力学 II,2010

    • Author(s)
      二宮 正夫, 杉野 文彦, 杉山 忠男
    • Total Pages
      212(本研究代表者担当分 55-191, 本研究分担者担当分 18-54)
    • Publisher
      講談社
  • [Remarks] 杉野 文彦, 「連続な量子」日経サイエンス 2013年6月号 68-72.

  • [Remarks] 杉野 文彦, 出前講座「素粒子と宇宙の不思議」, 2012年6月9日, 津山高校

  • [Remarks] 杉野 文彦, 出前講座「相対性理論とは?--光より速く進めるか?--」, 2011年12月13日, 岡山操山高校

  • [Remarks] 杉野 文彦, 出前講座「剛体の力学」, 2011年3月4日, 岡山朝日高校

  • [Remarks] 杉野 文彦, 出前講座「ひも理論って何? = 宇宙の究極理論?」, 2009年12月21日, 岡山朝日高校

URL: 

Published: 2014-08-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi