Realization of lattice supersymmetry with over degree of freedom

• Project/Area Number: 20540274
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Ehime 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
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 素粒子(理論) / 素粒子論 / 場の理論 / 格子ゲージ理論 / 超対称性 / 計算物理 / 格子場の理論 / 格子超対称性

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

• [Journal Article] A criterion for lattice supersymmetry: cyclic Leibniz rule (2013)
  • Author(s): Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
  • Journal Title: Journal of High Energy Physics Volume: Vol.1305、No.5 Issue: 5 Pages: 89-89
  • DOI: 10.1007/jhep05(2013)089
  • NAID: 120005468176
  • Peer Reviewed
• [Journal Article] A criterion for lattice supersymmetry: cyclic Leibniz rule (2013)
  • Author(s): Mitsuhiro Kato
  • Journal Title: Journal of High Energy Physics Volume: 未定
  • NAID: 120005468176
  • Peer Reviewed
• [Journal Article] Leibniz rule, locality and supersymmetry on lattice (2012)
  • 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] Leibniz rule, locality and supersymmetry on lattice (2012)
  • Author(s): Mitsuhiro Kato
  • Journal Title: Procceddings of Science Lattice 2012 Volume: 231 Pages: 1-7
  • Peer Reviewed
• [Journal Article] Emergent Supersymmetry in Warped Backgrounds (2011)
  • Author(s): Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto
  • Journal Title: SIGMA Volume: 7-065 Pages: 65-65
  • DOI: 10.3842/sigma.2011.065
  • Peer Reviewed
• [Journal Article] Gauge-Higgs Unification in Lifshitz Type Gauge Theory (2011)
  • Author(s): H.Hatanaka, M.Sakamoto, K.Takenaga
  • Journal Title: Phys.Rev.D Volume: 84 Issue: 2 Pages: 25018-25018
  • DOI: 10.1103/physrevd.84.025018
  • Peer Reviewed
• [Journal Article] 5-dimensional SU(2) lattice gauge theory with Z2orbifolding and its phase structure (2010)
  • 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 Theory (2010)
  • Author(s): Kouhei Ishiyama, Michika Murata, Hiroto So, Kazunori Takenaga
  • Journal Title: Progress of Theoretical Physics Volume: 123巻 Issue: 2 Pages: 257-269
  • DOI: 10.1143/ptp.123.257
  • NAID: 110007573215
  • Peer Reviewed
• [Journal Article] 5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure (2010)
  • Author(s): Michika Murata, Hiroto So, Kazunori Takenaga
  • Journal Title: Proceedings of Science 266 Pages: 1-7
  • Peer Reviewed
• [Journal Article] Symmetry and Z(2) Orbifolding Approach in Five-dimensional Lattice Gauge Theory (2010)
  • Author(s): K. Ishiyama, M. Murata, H. So, K. Takenaga
  • Journal Title: Progress of Theoretical Physics 123 Pages: 257-269
  • Peer Reviewed
• [Journal Article] 5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure (2010)
  • Author(s): Michika Murata, Hiroto So, Kazunori Takenaga
  • Journal Title: Proceedings of Science(Lattice 2010) Volume: 266 Pages: 1-7
  • Peer Reviewed
• [Journal Article] Symmetry and Z(2)Orbifolding Approach in Five-dimensional Lattice Gauge Theory (2010)
  • Author(s): K.Ishiyama, M.Murata, H.So, K.Takenaga
  • Journal Title: Progress of Theoretical Physics 123 Pages: 257-269
  • Peer Reviewed
• [Journal Article] No-Go The orem of Leibniz Rule and Supersymmetry on the Lattice (2009)
  • Author(s): M. Kato, M. Sakamoto, H. So
  • Journal Title: Proceedings of Science 233 Pages: 1-7
  • Peer Reviewed
• [Journal Article] No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice (2009)
  • Author(s): M.Kato, M.Sakamoto, H.So
  • Journal Title: Proceedings of Science 233 Pages: 1-7
  • NAID: 110007230588
  • Peer Reviewed
• [Journal Article] No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice (2008)
  • Author(s): Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
  • Journal Title: Proceedings of Science LATTICE2008 Pages: 233-239
  • NAID: 110007230588
  • URL: http://pos.sissa.it//archive/conferences/066/233/LATTICE%202008_233.pdf
  • Peer Reviewed
• [Journal Article] Taming the Leibniz Rule on the Lattice (2008)
  • Author(s): Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
  • Journal Title: Journal of High Energy Physics Volume: Vol.0805 Issue: 05 Pages: 057-057
  • DOI: 10.1088/1126-6708/2008/05/057
  • Peer Reviewed
• [Journal Article] Taming the Leibniz Rule on the Lattice (2008)
  • Author(s): M. Kato, M. Sakamoto, H. So
  • Journal Title: Journal of High Energy Physics 0805-057 Pages: 1-14
  • Peer Reviewed
• [Presentation] criteria for lattice supersymmetry: cyclic Leibniz rule (2013)
  • 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] Criteria for lattice supersymmetry (2013)
  • Author(s): 宗 博人
  • Organizer: 日本物理学会年次会
  • Place of Presentation: 広島大学
• [Presentation] Leibniz rule, locality and supersymmetry on lattice (2012)
  • Author(s): Hiroto So
  • Organizer: 30th International Symposium on Lattice Field Theory
  • Place of Presentation: Cairns, Australia
  • Year and Date: 2012-06-28
• [Presentation] Leibniz rule, locality and supersymmetry on lattice (2012)
  • Author(s): Hiroto So
  • Organizer: International Symposium on Lattice Field Theory
  • Place of Presentation: Cairns, Australia
• [Presentation] 5-dimensional SU(2) lattice gauge theory with Z_2 orbifolding and its phase structure (2010)
  • Author(s): Hiroto So
  • Organizer: 28th International Symposium on Lattice Field Theory
  • Place of Presentation: Sardinia, Italy
  • Year and Date: 2010-06-15
• [Presentation] 5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure (2010)
  • Author(s): Hiroto So
  • Organizer: The XXVIII International Symposium on Lattice Field Theory
  • Place of Presentation: Villasimius, Sardinia, Italy
  • Year and Date: 2010-06-15
• [Presentation] 5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure (2010)
  • Author(s): Michika Murata, Hiroto So, Kazunori Takenaga
  • Organizer: The XXVIII International Symposium on Lattice Filed Theory
  • Place of Presentation: Villasimius, Sardinia, Italy
  • Year and Date: 2010-06-15
• [Presentation] Z_2オービフォールド化された5次元格子ゲージ理論の対称性と有効理論 (2010)
  • Author(s): 石山浩平、宗博人、竹永和典, 村田享香
  • Organizer: 日本物理学会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-21
• [Presentation] Orbifolding approach to 5-dimensional lattice gauge theory (2009)
  • Author(s): 石山浩平、宗博人、竹永和典, 村田享香
  • Organizer: 日本物理学会
  • Place of Presentation: 甲南大学
  • Year and Date: 2009-09-10
• [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] 格子超対称性,ライプニッツ則および結合則 (2008)
  • Author(s): 宗博人
  • Organizer: 日本物理学会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-20
• [Presentation] 格子超対称性, ライプニッツ則および結合則 (2008)
  • Author(s): 宗 博人
  • Organizer: 日本物理学会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-20
• [Presentation] No-go theorem of Leibniz rule and supersymmetry on the lattice (2008)
  • Author(s): Makoto Sakamoto
  • Organizer: XXVI-th International Symposiuum on Lattice Field Theory
  • Place of Presentation: Virginia, USA
  • Year and Date: 2008-07-14
• [Presentation] No-go theorem of Leibniz rule and supersymmetry on the lattice (2008)
  • Author(s): M. Sakamoto
  • Organizer: The XXVI International Symposium on Lattice Field Theory
  • Place of Presentation: College of William and Mary, USA
  • Year and Date: 2008-07-14
• [Presentation] No-go theorem of Leibniz rule and supersymmetry on the lattice (2008)
  • Author(s): M. Sakamoto
  • Organizer: 国際シンポジュウム Lattice2008
  • Place of Presentation: College of William and Mary, USA
  • Year and Date: 2008-07-14
• [Remarks]
  • URL: https://sites.google.com/site/gezishangnosusy/