Chinese Physics C > 1997, Vol. 21 > Issue(8): 706-713

Bosonized Vertex Operators Realize Z-F Algebra for Z_nSymmetric Belavin R Matrix

Institute of Modern Physics,Northwest University,Xi'an 710069

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Abstract：
From the bosonization of vertex operators for A ⁽¹⁾ _n－1face model given by Asai,Jimbo,Miwa and Pugai,using vertex-face correspondence,we obtain bosonized vertex operators for Z _nsymmetric Belavin R matrix,which realize the Zamolodchikov-Fadeev algebra for that R matrix.

References

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B.Davies,O.Foda,M.Jimbo et al.,Comm.Math,Phys,151（1993）89.[2]M.Jimbo K.Miki,T.Miwa,et al. Phys,Lett.,A168（1992）256.[3]M.Jimbo,T.Miwa,Algebraic Analysis of Solvable Lattice Mode,CBMS Regional Cofereces Series in Mathematics,Vol.85,AMS（1994）,[4]A.Zamolodcihikov,Al.Zamolodchikov,Ann.Phys,120（1979）23.[5]L.D.Fadeev,Sov.Sci.Rev.,C1（1980）107.[6]L.D.Fadeev,N.Yu.Reshetikhin,L.A.Takhtatjan,Alg,Anal1（1989,in Russian）178;Leningrad Math.,J.1（1990）193.[7]P.P.Kulish,Phys.Lelt,161A（1991）50.[8]S.L.Lukyanov,Ya.Pugai,Nucl.Phys.,B473（1996）631.[9]G.E.Andrews,R.J.Baxter,P.J.Forrester,J:Stat.Phys,35（1984）193.[10]T.Miwa,R.Weston,Boundary ABF Models,RIMS-1106 Preprint[11]M.Jimbo,A.KunibaT.Miwa et al.Commun.Math.Phys.,119（1988）543.[12]Y.Asai,M.Jimbo,T.Miwa et al,Bosonization of VertexOperators for,An-1(1)Face model,Preprint hep-th/9606095.[13]R.J.Baxter,Exactiy Solved Models in Statistical Mechanics,（London:Academic,1982）.[14]E.Date,M.Jimbo,T.Miwa et al.,Lett.Math.Phys,12（1986）209.[15]M.Jimbo.,T.Miwa,M,Okado,Nucl.Phys.,B300（1988）74,[16]A.ABelavin,Nucl.Phys.,B180（1981）189.[17]M.P.Richey,C.A.Tracy,J.Stat.Phys.,42（1986）311.

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Shi Kangjie, Yang Wenli, Fan Heng and Hou Boyu. Bosonized Vertex Operators Realize Z-F Algebra for Z _nSymmetric Belavin R Matrix[J]. Chinese Physics C, 1997, 21(8): 706-713.

Shi Kangjie, Yang Wenli, Fan Heng and Hou Boyu. Bosonized Vertex Operators Realize Z-F Algebra for Z _nSymmetric Belavin R Matrix[J]. Chinese Physics C, 1997, 21(8): 706-713. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Bosonized Vertex Operators Realize Z-F Algebra for Z_nSymmetric Belavin R Matrix

Corresponding author:Shi Kangjie,

Institute of Modern Physics,Northwest University,Xi'an 710069

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1997-08-05

Abstract:From the bosonization of vertex operators for A⁽¹⁾_n－1face model given by Asai,Jimbo,Miwa and Pugai,using vertex-face correspondence,we obtain bosonized vertex operators for Z_nsymmetric Belavin R matrix,which realize the Zamolodchikov-Fadeev algebra for that R matrix.