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

Integrable field theories in higher dimensions and infinite-dimensional symmetries

Research Project

Project/Area Number 10640283
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionCHUO UNIVERSITY

Principal Investigator

INAMI Takeo  Chuo University, Faculty of Science and Engineering, Professor, 理工学部, 教授 (20012487)

Co-Investigator(Kenkyū-buntansha) SASAKI Ryu  Kyoto University, Yukawa Institute for Theoretical Physics, Associate Professor, 基礎物理学研究所, 助教授 (20154007)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsintegrable field theory / infinite-dimensional symmetry / non-commutative field theory / Calogero-Moser model / supersymmetric non-linear sigma model / duality / eight-vertex model / 高次元ヤング・ミルズ理論 / 可積分な場の理論 / 無元次元対称性 / 高次元ヤング・シルズ理論
Research Abstract

We have carried out research on the following two subjects :
I.Extension of integrable field theories in various directions
II.New models of field theories in view of unified theories
We have obtained a few results on the following problems. We have also found new problems in the course of the present research.
I.(a) Test of Guttmann-Enting's conjecture : eight-vertex model
(b) Integrable lattice models with boundaries and their field theory limit
(c) Integrable models containing chiral fermions and SUSY models on the lattice
(d) Ultraviolet divergence properties of the extended SUSY NLSM in three dimensions
(e) Non-commutative extension of two-dimensional integrable field theories
(f) Extension of the Wess-Zumino-Witten model to higher dimensions
(g) Quantum theory of Calogero-Moser model : New results on root systems and Lax representation.
(h) Quantum theory of Calogero-Moser model : Integrability of models with degenerate potential.
II.(a) Higher dimensional gauge theories as the origin of Higgs fields
(b) Duality between field theories in diverse dimensions : Duality between antisymmetric tensor fields and nonlinear sigma models.
We have published 19 papers during the three years of this project term.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (42 results)

All Other

All Publications (42 results)

  • [Publications] T.Inami,Y.Saito,M.Yamamoto: "Vanishing Next-to-Leading order Corrections to the β Function of the SUSY CPN-1 Model in Three Dimensions"Prog.Theor.Physics. 103. 1283-1288 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Furuta,T.Inami: "Ultraviolet Properties of Noncommutative Wess-zumino-Witten Model"Mod.Phys.Letters. A15. 997-1002 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Inami,Y.Saito,M.Yamamoto: "On the Finiteness of the N=4 SUSY Nonlinear Sigma Model in Three Dimensions"Phys.Letters. B495. 245-250 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Casiero,R.Sasaki I.Sp.Frain coios: "algebraic Linearization of Dynamics of Calogero Type for any coxter grown"J.Math.Phys.. 41. 4679-4689 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.P.Khastgin,R.Sasaki,A.J.Pocklington: "Quantum Calogero-Moser Models : Integrability for all Root Systems"J.Phys.. A33. 9033-9064 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.P.Khastgin,R.Sasaki: "Liouville Integrability of Classical Calogero-Maser Models"Phys.Letters. A279. 189-193 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Inami, Y.Saito and M.Yamamoto: "On the Finiteness of the n=4 SUSY Nonlinear Sigma Model in Three Dimensions"Phys.Letts.. B498. 245-250 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Furuta, T.Inami: "Ultraviolet Properties of Non-Commutative Wess-Zumino-Witten Model"Mod.Phys.Letts.. A15. 997-1002 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Inami, Y.Saito and M.Yamamoto: "Vanishing Next-to-Leading Order Corrections to the β Function of the SUSY CP^<N-1> Model in Three Dimensions"Prog.Theor.Phys.. 103. 1283-1288 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoang Ngoc Long, T.Inami: "S, T, U Parameters in an SU(3)×SU(3)×U(1) Model ith Right-Handed Neutrinos"Phys.Rev.. D61, 075002. 1-9 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Hatanaka T.Inami, C.S.Lim: "The Gauge Hierarchy Problem and Higher-Dimensional Gauge Theories"Mod.Phys.Letts.. A13. 2601-2611 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsukahara, T.Inami: "The Continuum Limit of the Integrable Open Spin-1/2 Chain"Journ.Phys.Soc.Japan. 68. 319-321 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsukahara, T.Inami: "Test of Guttmann and Enting's Conjecture in the Eight-Vertex Model"Journ.Phys.Soc.Japan. 67. 1067-1070 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Sasaki: "Universal Lax Pair for Generalised Calogero-Moser Models"J.Nonlinear Math.Phys.. 8. 254-260 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.P.Khastgir, R.Sasaki: "Liouville Integrability of Classical Calogero-Moser Models"Phys.Lett.. 279A. 189-193 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.P.Khastgir, A.J.Pocklington, R.Sasaki: "Quantum Calogero-Moser Models : Integrability for all Root Systems"J.Phys.. A33. 9033-9064 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Caseiro, J.-P.Francoise, R.Sasaki: "Algebraic Linearization of Dynamics of Calogero Type for Any Coxeter Group"J.Math.Phys.. 41. 4679-4689 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.J.Bordner, N.S.Manton and R.Sasaki: "Calogero-Moser Models V : Supersymmetry and Quantum Lax Pair"Prog.Theor.Phys.. 103. 463-487 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.P.Khastgir, R.Sasaki and K.Takasaki: "Calogero-Moser Models IV : Limits to Toda theory"Prog.Theor.Phys.. 102. 749-776 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.J.Bordner, E.Corrigan and R.Sasaki: "Generalised Calogero-Moser Models and Universal Lax Pair Operators"Prog.Theor.Phys.. 102. 499-529 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.J.Bordner and R.Sasaki: "Calogero-Moser Models III : Elliptic Potential and Twisting"Prog.Theor.Phys.. 101. 799-829 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.J.Bordner, R.Sasaki and K.Takasaki: "Calogero-Moser Models II : Symmetries and Foldings"Prog.Theor.Phys.. 101. 487-518 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.J.Bordner, E.Corrigan and R.Sasaki: "Calogero-Moser Models : A New Formulation"Prog.Theor.Phys.. 100. 1107-1129 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.-H, Yue and R.Sasaki: "Lax Pair for SU(n) Hubbard Model"J.Phys.Soc.Japan. 67. 2967-2969 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Inami,Y.Saito,M.Yamamoto: "Vanishing Next-to-Leading Order Covections to the β Function of the SUSY CP^<N-1> Model in Three Dimensions"Prog.Theor.Physics. 103. 1283-1288 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Furuta,T.Inami: "Ultraviolet Properties of Noncommutative Wess-Zumino-Witter Model"Mod.Phys.Letters. A15. 997-1002 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Inami,Y.Saito,M.Yamamoto: "On the Finiteness of the N=4 SUSY Nonlinear Sigma Model in Three Dimensions"Phys.Letters. B495. 245-250 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] R.Casiero,R.Sasaki,J.-P.Fran veise: "algebraic Linearization of Dynamics of Calogero Type for any coxter group"J.Math.Phys.. 41. 4679-4689 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.P.Khastgin,R.Sasaki,A.J.Pocklington: "Quantum Calogero-Moser Models : Integrability for all Root Systems"J.Phys.. A33. 9033-9064 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.P.Khastgin,R.Sasaki: "Liouville Integrability of Classical Calogero-Moser Models"Phys.Letters. A279. 189-193 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hoang Ngac Long, Takeo Inami: "S,T.U Parameters in SU(3)_cxSU(3)_LxU(1)Model with Right-Handed Neutrinos"Phys.Rev.. D61. 075002 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hiraski Tsukahara, Takeo Inami: "The Continuum Limit of the lntegrable Open XYZ Spin 1/2 Chain"Jour. Phys.Soc. Japan. 68. 319-321 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.P. Khastgin, R.Sasaki, K.Takesaki: "Calogero-Moser Models. 4. Limit Toda Theory"Prog. Theor. Phys.. 102. 749-776 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.J.Bordner, E.Corigan, R.Sasaki: "Generalized Calogero-Moser Models and Universal Lax Pain Operatas"Prog. Theor. Phys.. 102. 499-529 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.J.Bordmen, R.Sasaki: "Calogerv-Moser Models. 3. Elliptic Patential and Twisting"Prog. Theor. Phys.. 101. 799-829 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsukahara: "Test of Guthmann and Enting's Conjecture in the Eight-Vertex Model" Jour.Phys.Soc.Japan. 67巻4号. 1067-1070 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Tsukahara: "The Continuum Limit of the Integrable Open XYZ Spin-1/2 Chain" Jour.Phys.Soc.Japan. 68巻2号. 319-321 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Hatanaka: "The Gauge Hierarchy Problem and Higher-Dimensional Guge Theories" Mod.Phys.Letts.A13巻. 2601-2612 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.J.Bordner: "Calogero-Moser Modeles:A New Formulation" Prog.Theor.Phys.100巻. 1107-1129 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.J.Bordner: "Calogero-Moser Models II:Symmetries and Foldings" Prog.Theor.Phys.101巻3号. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.J.Bordner: "Calogero-Moser Models III:Elliptic Potential and Twisting" Prog.Theor.Phys.101巻4号.

    • Related Report
      1998 Annual Research Report
  • [Publications] R.H.Yue: "Jour.Phys.Sac.Japan 67巻" Lax Pair for SU(n) Hubbard Model, 2967-2969 (1998)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi