q-deformed Quantum Affine Algebra in Zn Lattice Model

  • The Zn-Baxter model in the principal regime is studied, and it is verified that two different Boltzmann weights are conjugate to each other. Using the two different startriangular relations and antisymmetric fusion, a realization of q-deformed quantum affine algebra is obtained.
  • 加载中
  • [1] L.Faddeev,Integrablemodelsin(1+1)-dimensionalquantumfieldtheory,Les.Houches,SessionXXXIX,RecentAdvancesinFieldTheoryandStatisticalMechanics(1982)561.[2]R.J.Baxter,“ExactlySolvedModelsinStatisticalMechanics”AcademicPressLondon1932.[3]V.G.Kac,“InfiniteDimensionalLieAlgebra”,3rded.CambridgePress(1990).[4]B.Y.Hou,W.Li,J.Phys.,A19(1986),2935.[5]A.A.Belavin,A.M.Polyakov,A.B.Zamolodchikov,Nucl.Phys.,B241(1984)333.[6]G.E.Andrews,R.J.Baxter,P.J.Forester,J.Stat.Phys.,35(1984)193.[7]L.Fadeev,L.A.Takhatajan,J.Sov.Math.,24(1984)241.[8]V.G.Drinfel'd,Sov.Math.Dokl.,32(1984)254.[9]B.Davies,O.Foda,M.Jimbo,T.Miwa.A.Nakayashiki,Commun.Math.Phys.,151(1993)89.[10]I.B.Frenkel,N.Yu.Reshetikhin,Commun.Math.Phys.,146(1992)1.[11]N.Yu.Reshetikhin,M.A.Semenov-Tian-Shansky,Lett.Math.Phys.,19(19990)153.[12]侯伯宇,石康杰,杨仲侠,岳瑞宏,物理学报,41(1992)201.[13]M.Jimbo,“Topics from Reprenstations of U(g)”.Nankai Lecture Notes Series,Ver.0.9,Nov.29,1991.[14]E.K.Sklyanin,Funct.Anal.Appl,16(1982)263;Funct.Anal.Appl.,17(1983)273.[15]B.Y.Hou,H.Wei,J.Math.Phys.,30(1989)2750.[16]B.Y.Hou,K.J.Shi,Z.X,Yang,J.Phys.,A26(1993)4951.[17]A.A.Belavin,Nucl.Phys.,B180(1981)189.[18]M.Jimbo,T.Miwa,F.Okado,Nucl.Phys.,B275(1986)517.[19]M.JimboT.Miwa,F.Okado,Nucl.Phys.,B300(1988)74.[20]M.P.Richey,C.A.Tracy,J.Stat.Phys.,42(1986)311.[21]Y.H.Quano,A.Fujii,PreprintUT-603,TokyoUni.(1991);Y.H.Quano,PreprintUT-613,TokyoUni.(1992).[22]K.Haseyawa,Y.Yamada,Phys.Lett.,A146(1990)387.[23]V.V.Bazhanov,R.M.Kashaev,V.V.Mangazeev,Yu.G.Stroganov,Commun.Math.Phys.,138(1991)391.[24]I.V.Cherednik,Sov.J.Nucl.Phys.,36(1983)320;Funct.Anal.Appl.,19(1985)77.[25]B.Y.Hou,Y.K.Zhou,J.Phys.,A23(1990)1147.[26]Y.H.Quano,Ph.D.thesis,Univ.of Tokyo,1993.[27]M.Jimbo,T.Miwa,A.Nakayashiki,Difference equations for the Correkation Fiunctions of Eight-vertex models,RIMS Preprint904(1992).[28]M.Jimbo,K.Miki,T.Miwa,A.Nakayashiki,Phya.Lett.,A168(1992)256-263.[29]Y.H.Quano,Spontaneous Polarization of the Zn-Baxter Model,RIMS-930.
  • 加载中

Get Citation
Shi Kangjie, Yang Wenli, Hou Boyu and Fan Heng. q-deformed Quantum Affine Algebra in Zn Lattice Model[J]. Chinese Physics C, 1995, 19(3): 229-240.
Shi Kangjie, Yang Wenli, Hou Boyu and Fan Heng. q-deformed Quantum Affine Algebra in Zn Lattice Model[J]. Chinese Physics C, 1995, 19(3): 229-240. shu
Milestone
Received: 1900-01-01
Revised: 1900-01-01
Article Metric

Article Views(2239)
PDF Downloads(515)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

q-deformed Quantum Affine Algebra in Zn Lattice Model

    Corresponding author: Shi Kangjie,
  • Institute of Modern Physics, Northwest University, Xian, 710069

Abstract: The Zn-Baxter model in the principal regime is studied, and it is verified that two different Boltzmann weights are conjugate to each other. Using the two different startriangular relations and antisymmetric fusion, a realization of q-deformed quantum affine algebra is obtained.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return