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From Chern-Simons Theory To M-Theory

Research Project

Project/Area Number 26400245
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 InstitutionOsaka City University (2015-2018)
Nagoya University (2014)

Principal Investigator

Moriyama Sanefumi  大阪市立大学, 大学院理学研究科, 准教授 (80402452)

Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
KeywordsM理論 / チャーン・サイモンズ理論 / 行列模型 / 可積分階層 / 量子曲線 / ヤコビ・トゥルディ関係式 / 二点関数 / 二次元戸田格子 / 弦理論 / 膜 / 超共形対称性 / 位相的弦理論 / 可積分性 / 双対性 / Chern-Simons理論 / 局所化 / 非摂動論的効果 / エアリー関数 / インスタントン効果 / 発散相殺機構
Outline of Final Research Achievements

M-theory is a mysterious 11-dimensional theory which is considered to unify all perturbative 10-dimensional string theories non-perturbatively. The field theory that describes the worldvolume of multiple M2-branes is recently identified by Aharony, Bergman, Jafferis and Maldacena. After applying the localization technique for supersymmetric correlators, the partition function and one-point functions of the supersymmetric Wilson loops are reduced to matrix models. The ABJM matrix model was studied extensively in previous works. Here through the generalization of the matrix model we find many interesting relations characterizing the M2-brane physics. Our results include integrability, the open/closed duality, the correspondence between quantum curves and generalizations of the ABJM matrix model, and the relation between the orientifold projection of the matrix model and the chiral projection of the associated quantum mechanics.

Academic Significance and Societal Importance of the Research Achievements

11次元M理論は10次元弦理論を統一すると期待されているが、これまでM理論に関する知見は少なかった。本研究では、ABJM行列模型とその拡張模型の研究を通じて、M2ブレーンに関する理解を大きく深めた。特にABJM行列模型とその拡張模型の間に存在するさまざまな関係式はM理論の豊かな数理構造を示唆しており、最終的にM2ブレーンの超対称性を保つさまざまな背景幾何をまとめた「M理論の地図」に例外群と可積分性から生成される対称性が作用していることがわかる。この対称性の構造を通じて謎に包まれたM理論が解明され、M理論が精密に定式化されることが期待される。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (45 results)

All 2019 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (18 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 18 results,  Open Access: 17 results,  Acknowledgement Compliant: 11 results) Presentation (24 results) (of which Int'l Joint Research: 10 results,  Invited: 14 results) Funded Workshop (1 results)

  • [Int'l Joint Research] KIAS(韓国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] KIAS(韓国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models2019

    • Author(s)
      Naotaka Kubo, Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      JHEP (Journal of High Energy Physics)

      Volume: 1901 Issue: 1 Pages: 210-210

    • DOI

      10.1007/jhep01(2019)210

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] ABJM Matrix Model and 2D Toda Lattice Hierarchy2019

    • Author(s)
      Tomohiro Furukawa, Sanefumi Moriyama
    • Journal Title

      JHEP (Journal of High Energy Physics)

      Volume: 1903 Issue: 3 Pages: 197-197

    • DOI

      10.1007/jhep03(2019)197

    • NAID

      130008148609

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Jacobi-Trudi Identity in Super Chern-Simons Matrix Model2018

    • Author(s)
      Tomohiro Furukawa, Sanefumi Moriyama
    • Journal Title

      SIGMA (Symmetry, Integrability and Geometry: Methods and Applications)

      Volume: 14 Pages: 049-049

    • DOI

      10.3842/sigma.2018.049

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Two-Point Functions in ABJM Matrix Model2018

    • Author(s)
      Naotaka Kubo, Sanefumi Moriyama
    • Journal Title

      JHEP (Journal of High Energy Physics)

      Volume: 1805 Issue: 5 Pages: 181-181

    • DOI

      10.1007/jhep05(2018)181

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings2017

    • Author(s)
      Sanefumi Moriyama, Shota Nakayama, Tomoki Nosaka
    • Journal Title

      JHEP

      Volume: 1708 Issue: 8 Pages: 003-003

    • DOI

      10.1007/jhep08(2017)003

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Superconformal Chern-Simons Theories from del Pezzo Geometries2017

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka, Katsuya Yano
    • Journal Title

      JHEP

      Volume: 1711 Issue: 11 Pages: 089-089

    • DOI

      10.1007/jhep11(2017)089

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Giambelli Identity in Super Chern-Simons Matrix Model2017

    • Author(s)
      Satsuki Matsuno, Sanefumi Moriyama
    • Journal Title

      Journal of Mathematical Physics

      Volume: 58 Issue: 3 Pages: 032301-032301

    • DOI

      10.1063/1.4978229

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Orthosymplectic Chern-Simons Matrix Model and Chirality Projection2016

    • Author(s)
      Sanefumi Moriyama, Takao Suyama
    • Journal Title

      JHEP

      Volume: 04 Issue: 4 Pages: 132-132

    • DOI

      10.1007/jhep04(2016)132

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons2016

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      JHEP

      Volume: 06 Issue: 6 Pages: 068-068

    • DOI

      10.1007/jhep06(2016)068

    • NAID

      120005819489

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Prospects of the Nambu Bracket2016

    • Author(s)
      Kazuki Kiyoshige, Sanefumi Moriyama, Katsuya Yano
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 6 Issue: 6 Pages: 06A105-06A105

    • DOI

      10.1093/ptep/ptw070

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Kazuki Kiyoshige, Sanefumi Moriyama2016

    • Author(s)
      Dualities in ABJM Matrix Model from Closed String Viewpoint
    • Journal Title

      JHEP

      Volume: 11 Issue: 11 Pages: 096-096

    • DOI

      10.1007/jhep11(2016)096

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Instanton Effects in Orientifold ABJM Theory2016

    • Author(s)
      Sanefumi Moriyama, Takao Suyama
    • Journal Title

      JHEP

      Volume: 1603 Issue: 3 Pages: 034-034

    • DOI

      10.1007/jhep03(2016)034

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] ABJM membrane instanton from a pole cancellation mechanism2015

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      Physical Review

      Volume: D92 Issue: 2 Pages: 026003-026003

    • DOI

      10.1103/physrevd.92.026003

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings2015

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      JHEP

      Volume: 1505 Issue: 5 Pages: 022-022

    • DOI

      10.1007/jhep05(2015)022

    • NAID

      120005749928

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas2015

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      JHEP

      Volume: 1509 Issue: 9 Pages: 054-054

    • DOI

      10.1007/jhep09(2015)054

    • NAID

      120005749911

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Exact instanton expansion of the ABJM partition function2015

    • Author(s)
      Yasuyuki Hatsuda, Sanefumi Moriyama, Kazumi Okuyama
    • Journal Title

      PTEP

      Volume: 2015 Issue: 11 Pages: 11B104-11B104

    • DOI

      10.1093/ptep/ptv145

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Instanton Effects in Orbifold ABJM Theory2014

    • Author(s)
      Masazumi Honda, Sanefumi Moriyama
    • Journal Title

      Journal of High Energy Physics

      Volume: 1408 Issue: 8 Pages: 091-091

    • DOI

      10.1007/jhep08(2014)091

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Partition functions of superconformal Chern-Simons theories from Fermi gas approach2014

    • Author(s)
      Sanefumi Moriyama, Tomoki Nosaka
    • Journal Title

      Journal of High Energy Physics(JHEP)

      Volume: JHEP11(2014)164 Issue: 11 Pages: 1-32

    • DOI

      10.1007/jhep11(2014)164

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] One-Point Functions in ABJM Matrix Model(ポスター発表)2018

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      String-Math 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Integrability in Super Chern-Simons Matrix Model(ポスター発表)2018

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Symmetries and Integrability of Difference Equation 13
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Symmetry Breaking in Quantum Curves & Super Chern-Simons Matrix Models2018

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      OCU Nambu Symposium
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 超群不変なChern-Simons測度の数理2017

    • Author(s)
      森山翔文
    • Organizer
      神戸可積分セミナー、名古屋小研究会、名古屋多弦セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 統一理論への夢2017

    • Author(s)
      森山翔文
    • Organizer
      素粒子原子核関西地域セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Superconformal Chern-Simons Theories from del Pezzo Geometries2017

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Yukawa Institute Workshop "Strings and Fields"
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] M-Theory & ABJM Matrix Model2017

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Mini Symposium "Recent Developments in Mathematical Physics"
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Dualities in ABJM Matrix Model2016

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Workshop and School “Quantum Geometry, Duality and Matrix Models”
    • Place of Presentation
      Lebedev Institute (ロシア、モスクワ)
    • Year and Date
      2016-08-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] ABJM行列模型の隠れた関係式2016

    • Author(s)
      森山翔文
    • Organizer
      研究会「超対称理論の数理的理解の進展」
    • Place of Presentation
      理化学研究所(埼玉県、和光市)
    • Year and Date
      2016-08-17
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Giambelli Identity in ABJM Matrix Model2016

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Workshop "Strings and Fields 2016"
    • Place of Presentation
      京都大学基礎物理学研究所(京都府、京都市)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Super Chern-Simons Matrix Models & Chiral Projections2016

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      JSPS/RFBR Collaborations
    • Place of Presentation
      修善寺総合会館(静岡県伊豆市)
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Orientifold ABJM Matrix Model & Chiral Projection2016

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      seminar
    • Place of Presentation
      National Taiwan University (台湾、台北)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Open/Closed Duality in ABJM Matrix Model2016

    • Author(s)
      森山翔文
    • Organizer
      セミナー
    • Place of Presentation
      東京大学総合文化研究科(東京都、目黒区)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] ABJM行列模型の対称性2016

    • Author(s)
      森山翔文
    • Organizer
      関西素粒子セミナー
    • Place of Presentation
      大阪市立大学文化交流センター(大阪府、大阪市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 超群不変なChern-Simons測度の数理2016

    • Author(s)
      森山翔文
    • Organizer
      2016年度数学・物理・情報科学の研究交流シンポジウム
    • Place of Presentation
      奈良女子大学(奈良県、奈良市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 南部括弧に関する展望2015

    • Author(s)
      森山翔文
    • Organizer
      南部陽一郎特別栄誉教授追悼シンポジウム「学部生・大学院生・研究者が学ぶ南部先生の偉業」
    • Place of Presentation
      大阪市立大学(大阪府大阪市)
    • Year and Date
      2015-09-29
    • Related Report
      2015 Research-status Report
  • [Presentation] Superconformal Chern-Simons Theory from Fermi Gas Approach2015

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Integrability in Gauge and String Theory 2015
    • Place of Presentation
      King's College London(イギリス、ロンドン)
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Superconformal Chern-Simons Theory from Fermi Gas Approach2015

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      seminar
    • Place of Presentation
      Korea Institute for Advanced Study(韓国、ソウル)
    • Year and Date
      2015-05-21
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] ABJM行列模型のGiambelli性 - M理論と量子力学 -2015

    • Author(s)
      森山翔文
    • Organizer
      ミニワークショップ「数学・物理における可積分性の諸相」
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-03-09 – 2015-03-11
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach2014

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      7th Taiwan String Workshop
    • Place of Presentation
      National Taiwan University (Taipei)
    • Year and Date
      2014-11-24 – 2014-11-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Instanton Effects in Orbifold ABJM Theory2014

    • Author(s)
      本多正純,森山翔文
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      佐賀大学
    • Year and Date
      2014-09-18 – 2014-09-21
    • Related Report
      2014 Research-status Report
  • [Presentation] A Quantum Mechanical Model from M-Theory2014

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      New Trends in Quantum Integrabilities
    • Place of Presentation
      University of Surrey (Guildford)
    • Year and Date
      2014-08-18 – 2014-08-22
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Instanton Effects in Orbifold ABJM Theory2014

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      YITP workshop - Strings and Fields -
    • Place of Presentation
      京都大学
    • Year and Date
      2014-07-22 – 2014-07-26
    • Related Report
      2014 Research-status Report
  • [Presentation] A Quantum Mechanical Model from M-Theory2014

    • Author(s)
      Sanefumi Moriyama
    • Organizer
      Finite-size Technology in Low Dimensional Quantum Systems (VII)
    • Place of Presentation
      Eotvos University (Budapest)
    • Year and Date
      2014-06-16 – 2014-06-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Funded Workshop] Progress in Quantum Field Theory and String Theory II2017

    • Place of Presentation
      大阪市立大学学術情報総合センター(大阪府、大阪市)
    • Year and Date
      2017-03-27
    • Related Report
      2016 Research-status Report

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Published: 2014-04-04   Modified: 2020-03-30  

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