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

Nonperturbative formulation of superstring theory based on matrix models

Research Project

Project/Area Number 19K03818
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionUniversity of Tsukuba

Principal Investigator

Ishiki Goro  筑波大学, 数理物質系, 准教授 (50710761)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2022: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2021: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords超弦理論 / 行列模型 / 非可換幾何 / 行列正則化 / 弦理論 / 非可換幾何学
Outline of Research at the Start

超弦理論は素粒子の基本相互作用(重力・電磁気力・強い力・弱い力)を統一的に記述する理論として期待されているが、まだ完全な定式化がなされていない。本研究のメインテーマである「行列模型」とは、超弦理論のより完全な定式化(非摂動的定式化)を与えると予想されている模型である。本研究では行列模型の解析を行うことにより、行列模型が本当に超弦理論を実現しているのか、そして実現しているならばどのようにそれがなされているのかを明らかにする。特に本研究では、行列模型に自然に現れる「非可換幾何学」と呼ばれる新しい数学から、この問題にアプローチする。

Outline of Final Research Achievements

Superstring theory is a candidate for a theory that describes the interaction of all elementary particles, including gravity, in a consistent manner. At present, only an incomplete (perturbative) formulation of this theory has been completed, and a more complete (non-perturbative) formulation is needed to be constructed. We studied a theory called the matrix model, which is expected to give a non-perturbative formulation of superstring theory. In particular, we studied the geometrical aspects and investigated how the noncommutative geometry in the matrix model is related to the differential geometry of superstring theory. As a result, it is shown that various geometric structures appearing in superstring theory can be described using matrix degrees of freedom.

Academic Significance and Societal Importance of the Research Achievements

宇宙創成時の物理現象まで記述できるような素粒子の究極理論を構成することは、素粒子理論分野の最も大きな目標の一つである。本研究で得られた結果はそのような理論の候補である超弦理論の定式化を完成させるための大きな足掛かりになると考えられる。
宇宙創成時からこれまで世界がどのように誕生し変化してきたのかを明らかにすることが科学の役割の一つであるが、このような問題の最も基本的な部分である「宇宙創成時のメカニズムの解明」に本研究の結果が関連すると期待される。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (21 results)

All 2023 2022 2021 2020 Other

All Int'l Joint Research (3 results) Journal Article (7 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 7 results,  Open Access: 5 results) Presentation (8 results) (of which Invited: 1 results) Remarks (3 results)

  • [Int'l Joint Research] ダブリン高等研究所(DIAS)(アイルランド)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Dublin Institute for Advanced Studies(アイルランド)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Sogang大学(韓国)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Vector bundles on fuzzy K?hler manifolds2023

    • Author(s)
      Adachi Hiroyuki、Ishiki Goro、Kanno Satoshi
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2023, no. 2 Issue: 2

    • DOI

      10.1093/ptep/ptad006

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the existence of the NS5-brane limit of the plane wave matrix model2023

    • Author(s)
      Asano Yuhma、Ishiki Goro、Matsumoto Takaki、Shimasaki Shinji、Watanabe Hiromasa
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2023, no. 4 Issue: 4

    • DOI

      10.1093/ptep/ptad042

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Matrix regularization for tensor fields2022

    • Author(s)
      Adachi Hiroyuki、Ishiki Goro、Kanno Satoshi、Matsumoto Takaki
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2023, no. 1 Issue: 1

    • DOI

      10.1093/ptep/ptac171

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Laplacians on fuzzy Riemann surfaces2021

    • Author(s)
      Adachi Hiroyuki、Ishiki Goro、Kanno Satoshi、Matsumoto Takaki
    • Journal Title

      Physical Review D

      Volume: 103 Issue: 12 Pages: 126003-126003

    • DOI

      10.1103/physrevd.103.126003

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Matrix regularization for Riemann surfaces with magnetic fluxes2020

    • Author(s)
      Adachi Hiroyuki、Ishiki Goro、Matsumoto Takaki、Saito Kaishu
    • Journal Title

      Physical Review D

      Volume: 101 Issue: 10 Pages: 1-23

    • DOI

      10.1103/physrevd.101.106009

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Diffeomorphisms and approximate invariants on fuzzy sphere2020

    • Author(s)
      Matsumoto Takaki、Ishiki Goro
    • Journal Title

      Proceedings of Science

      Volume: CORFU2019 (2020) 193 Pages: 1-14

    • DOI

      10.22323/1.376.0193

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The null identities for boundary operators in the (2, 2p + 1) minimal gravity2020

    • Author(s)
      Ishiki Goro、Muraki Hisayoshi、Rim Chaiho
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2020 Issue: 2

    • DOI

      10.1093/ptep/ptz170

    • NAID

      120007132904

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Berezin-Toeplitz量子化を用いたリーマン構造を保つ行列正則化2023

    • Author(s)
      伊敷吾郎,菅野聡
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Matrix regularization for gauge fields and Seiberg-Witten map2023

    • Author(s)
      菅野聡
    • Organizer
      離散的手法による場と時空のダイナミクス2023
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 1/N補正を含めたゲージ理論の行列正則化の計算2023

    • Author(s)
      足立宏幸, 伊敷吾郎, 菅野聡
    • Organizer
      日本物理学会2023年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] ケーラー多様体上のベクトル束の行列正則化2022

    • Author(s)
      足立宏幸, 伊敷吾郎, 菅野聡
    • Organizer
      日本物理学会2022年秋季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] BMN行列模型におけるNS5ブレーン極限の数値解析2022

    • Author(s)
      浅野侑磨、伊敷吾郎、松本高興、渡辺展正
    • Organizer
      日本物理学会第77回年次大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 曲がったFuzzy空間におけるSeiberg-Witten写像2022

    • Author(s)
      足立宏幸、伊敷吾郎、菅野聡
    • Organizer
      日本物理学会第77回年次大会
    • Related Report
      2021 Research-status Report
  • [Presentation] ファジー空間上のラプラス演算子2021

    • Author(s)
      足立宏幸, 伊敷吾郎, 菅野聡, 松本高興
    • Organizer
      日本物理学会大76回年次大会
    • Related Report
      2020 Research-status Report
  • [Presentation] ベクトルスピノル場を用いたテンソル場の行列正則化2020

    • Author(s)
      足立宏幸, 伊敷吾郎, 松本高興
    • Organizer
      日本物理学会2020年度秋季大会
    • Related Report
      2020 Research-status Report
  • [Remarks] 素粒子理論 伊敷研究室

    • URL

      https://www-het.ph.tsukuba.ac.jp/~ishiki/index.html

    • Related Report
      2023 Annual Research Report 2022 Research-status Report
  • [Remarks] 伊敷研究室

    • URL

      https://www-het.ph.tsukuba.ac.jp/~ishiki/index.html

    • Related Report
      2021 Research-status Report
  • [Remarks] 素粒子理論 伊敷研究室

    • URL

      http://www-het.ph.tsukuba.ac.jp/~ishiki/sonota.html

    • Related Report
      2019 Research-status Report

URL: 

Published: 2019-04-18   Modified: 2025-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi