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2012 Fiscal Year Final Research Report

Realization of lattice supersymmetry with over degree of freedom

Research Project

  • PDF
Project/Area Number 20540274
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 InstitutionEhime University

Principal Investigator

SO Hiroto  愛媛大学, 大学院・理工学研究科, 教授 (20196992)

Co-Investigator(Kenkyū-buntansha) KATO Mitsuhiro  東京大学, 大学院・総合文化研究科, 教授 (80185876)
SAKAMOTO Makoto  神戸大学, 大学院・理学(系)研究科(研究院), 助教 (30183817)
Project Period (FY) 2008 – 2012
Keywords素粒子(理論)
Research Abstract

The result of this project is listed as the followings;
1. Translational invariant and local lattice filed theories have been formulated.
2. Ordinary Leibniz rue cannot be held with finite flavor on translational invariant and local lattice theory.
3. The matrix representation of the lattice theory as the lattice size flavor one satisfying with Leibniz rule is neccessarily nonlocal theory after the continuum limit.4. Another local lattice framwork with Kaluza-Klein modes is also inconsistent with the Leibniz rule
5. The only possiblity for the lattice supersymmetry with locality is to rebuild a Leibniz rule in the lattice proper formalism.

  • Research Products

    (11 results)

All 2013 2012 2010 2008

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (5 results)

  • [Journal Article] A criterion for lattice supersymmetry: cyclic Leibniz rule2013

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      Journal of High Energy Physics

      Volume: Vol.1305、No.5 Pages: 089

    • DOI

      DOI:10.1007/JHEP05(2013)089 .

    • Peer Reviewed
  • [Journal Article] Leibniz rule, locality and supersymmetry on lattice2012

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      Proceedings of Science LATTICE2012

      Pages: 231-237

    • URL

      http://pos.sissa.it/archive/conferences/164/231/Lattice%202012_231.pdf

    • Peer Reviewed
  • [Journal Article] 5-dimensional SU(2) lattice gauge theory with Z2orbifolding and its phase structure2010

    • Author(s)
      Michika Murata, Hiroto So , Kazunori Takenaga
    • Journal Title

      Proceedings of Science LATTICE2010

      Pages: 266-272

    • URL

      http://pos.sissa.it//archive/conferences/105/266/Lattice%202010_266.pdf

    • Peer Reviewed
  • [Journal Article] Symmetry and Z(2)Orbifolding Approach in Five-dimensional Lattice Gauge Theory2010

    • Author(s)
      Kouhei Ishiyama, Michika Murata, Hiroto So, Kazunori Takenaga
    • Journal Title

      Progress of Theoretical Physics

      Volume: 123巻 Pages: 257-269

    • DOI

      DOI:10.1143/PTP.123.257

    • Peer Reviewed
  • [Journal Article] No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice2008

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      Proceedings of Science LATTICE2008

      Pages: 233-239

    • URL

      http://pos.sissa.it//archive/conferences/066/233/LATTICE%202008_233.pdf

    • Peer Reviewed
  • [Journal Article] Taming the Leibniz Rule on the Lattice2008

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
    • Journal Title

      Journal of High Energy Physics

      Volume: Vol.0805 Pages: P057

    • DOI

      DOI:10.1088/1126-6708/2008/05/057

    • Peer Reviewed
  • [Presentation] criteria for lattice supersymmetry: cyclic Leibniz rule2013

    • Author(s)
      宗 博 人
    • Organizer
      日本物理学会年次会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
  • [Presentation] Leibniz rule, locality and supersymmetry on lattice2012

    • Author(s)
      Hiroto So
    • Organizer
      30th International Symposium on Lattice Field Theory
    • Place of Presentation
      Cairns, Australia
    • Year and Date
      2012-06-28
  • [Presentation] 5-dimensional SU(2) lattice gauge theory with Z_2 orbifolding and its phase structure2010

    • Author(s)
      Hiroto So
    • Organizer
      28th International Symposium on Lattice Field Theory
    • Place of Presentation
      Sardinia, Italy
    • Year and Date
      2010-06-15
  • [Presentation] 格子超対称性,ライプニッツ則および結合則2008

    • Author(s)
      坂本 眞人
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-20
  • [Presentation] No-go theorem of Leibniz rule and supersymmetry on the lattice2008

    • Author(s)
      Makoto Sakamoto
    • Organizer
      XXVI-th International Symposiuum on Lattice Field Theory
    • Place of Presentation
      Virginia, USA
    • Year and Date
      2008-07-14

URL: 

Published: 2014-08-29  

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