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2013 Fiscal Year Final Research Report

Study of Integrable Systems by the Method of Algebraic Analysis

Research Project

  • PDF
Project/Area Number 22340031
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionKyoto University

Principal Investigator

MIWA tetsuji  京都大学, 学内共同利用施設等, 教授 (10027386)

Project Period (FY) 2010-04-01 – 2014-03-31
Keywords量子トロイダル代数 / 可解格子模型 / スピン鎖 / 相関函数 / 平面分割 / フェルミオン
Research Abstract

Fermionic construction of creation operators is extended to the sine-Gordon model. The fermion creation operator in this approach was identified with the BBS fermion in the study of form factors. We alsostudied the quantum tproidal algebra.

  • Research Products

    (13 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (9 results) Presentation (4 results)

  • [Journal Article] Quantum toroidal gl(1) algebra : plane partitions2012

    • Author(s)
      Feigin B, Jimbo M, Miwa T, Mukhin E
    • Journal Title

      Kyoto J. Math

      Volume: 52 Pages: 621-659

  • [Journal Article] Gelfand Zetlin basis, Whittacker vectors and a bosonic formula for the sl(n+1) principal subspace2011

    • Author(s)
      Feigin B, Jimbo M, Miwa T
    • Journal Title

      Publ. Res. Inst. Math

      Volume: 47 Pages: 535-551

  • [Journal Article] Fermionic structure in the sine Gordon model : form factor and null vectors2011

    • Author(s)
      Jimbo M, Miwa T, Smirnov F
    • Journal Title

      Nuclear Physics

      Volume: B.852 Pages: 390-440

  • [Journal Article] Quantum continuous gl(n) : tensor products of Fock modules and Wn charac- ters2011

    • Author(s)
      Feigin B, Jimbo M, Miwa T, Mukhin E
    • Journal Title

      Kyoto J. Math

      Volume: 51 Pages: 237-364

  • [Journal Article] Hidden Grassmann structure in the XXZ model V, sine-Gordon model2011

    • Author(s)
      Jimbo M, Miwa T, SmirnovF
    • Journal Title

      Lett. Math. Phys

      Volume: 96 Pages: 325-365

  • [Journal Article] Hidden Grassmann structure in the XXZ model IV : CFT limit2010

    • Author(s)
      Boos H, Jimbo M, Miwa T, Smirnov F
    • Journal Title

      Comm. Math. Phys

      Volume: 299(3) Pages: 825-866

  • [Journal Article] Fermionic screening operators in the sine-Gordon model

    • Author(s)
      Jimbo M, Miwa T, SmirnovF
    • Volume
      arxiv1103.1534
  • [Journal Article] Creation operators for the Fateev-Zamolodvhikov spin chain

    • Author(s)
      Jimbo M, Miwa T, SmirnovF
    • Pages
      arxiv 1402.6893
  • [Journal Article] Branching rules for quantum toroidal gl(n)

    • Author(s)
      Feigin,B.,Jimbo,M., Miwa, T., Mukhin
  • [Presentation] Construction of creation operators i n Fateev-Zamolodchikov model, mathematical Physics : Past, Present, and Future2014

    • Organizer
      Euler Institute in St.Petersburg
    • Place of Presentation
      Russia
    • Year and Date
      20140326-30
  • [Presentation] Correlation functions in Integrable models, in Representation Theory ans applications to Combinatorics, Geometry, and Quantum Physics2013

    • Organizer
      International Conference dedicated to the 60th birthday of Boris Feigin
    • Place of Presentation
      Moscow
    • Year and Date
      20131213-19
  • [Presentation] Representations of quantum continuous glinfinity2010

    • Organizer
      ICM satellite conference on Algebraic and Combinatorial approach in representation theory
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2010-08-15
  • [Presentation] Heinemann賞の受賞講演

    • Organizer
      アメリカ物理学会年会
    • Place of Presentation
      Baltimore

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Published: 2015-06-25  

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