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Investigation of string duality through Sine Square Deformation

Research Project

Project/Area Number 25610066
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionInstitute of Physical and Chemical Research

Principal Investigator

Tada Tsukasa  国立研究開発法人理化学研究所, 仁科加速器研究センター, 副主任研究員 (10322603)

Co-Investigator(Renkei-kenkyūsha) ISHIBASHI Nobuyuki  筑波大学, 数理物質科学研究科(系), 教授 (70211729)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
KeywordsSine-square deformation / 共形場理論 / Virasoro代数 / 双対性 / Conformal Field Theory / Virasoro Algebra / string duality / dipolar quantization
Outline of Final Research Achievements

In the study of two-dimensional conformal field theories, which are a class of quantum systems that are essential in understanding string theory, we invented a novel quantization scheme that leads the continuous spectrum of the system as well as a set of conserved charges that are indexed by a continuous variable. The introduction of the new quantization scheme enables the natural understanding of the phenomenon known in the study of quantum critical systems as Sine Square Deformation. It further clarifies the physics behind the phenomenon.

Report

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

    (6 results)

All 2016 2015 2014 2013

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (4 results)

  • [Journal Article] Infinite circumference limit of conformal field theory2015

    • Author(s)
      Nobuyuki Ishibashi and Tsukasa Tada
    • Journal Title

      Jounal of Physics

      Volume: A48 no.31 Issue: 31 Pages: 315402-315402

    • DOI

      10.1088/1751-8113/48/31/315402

    • NAID

      120007136286

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Sine Square Deformation and String Theory2014

    • Author(s)
      T. Tada
    • Journal Title

      JPS Conference Proceedings

      Volume: 1 Pages: 13003-13003

    • DOI

      10.7566/jpscp.1.013003

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] The dipolar quantization and the infinite circumference limit of CFT2016

    • Author(s)
      多田司
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      東北学院大学・仙台市・宮城県
    • Year and Date
      2016-03-20
    • Related Report
      2015 Annual Research Report
  • [Presentation] On the infinite circumference limit of CFT2015

    • Author(s)
      多田司
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Sine Square Deformation and String Theory2014

    • Author(s)
      T. Tada
    • Organizer
      3rd Bangkok workshop on high energy theory
    • Place of Presentation
      Chulalongkorn University, Bangkok, Thailand
    • Related Report
      2013 Research-status Report
  • [Presentation] Sine Square Deformation and String Theory2013

    • Author(s)
      T. Tada
    • Organizer
      Todai/Riken joint workshop on Super Yang-Mills, solvable systems and related subjects
    • Place of Presentation
      東京大学(東京都)
    • Related Report
      2013 Research-status Report

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

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