Knitting Ansatz and Solutions to Yang-Baxter Equation

  • We suggest a new method,named knitting ansatz,to generate solutions to Yang-Baxter equation with lower dimensional representations of braid group.To support our ansatz,we work out an example of a new 16×16 R-matrix constructed along this idea,with two 4×4 braid group representations of familiar 6-vertex type with different q-parameters.
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  • [1] 马中骐,杨-巴克斯特方程和量子包络代数,科学出版社,1993.[2]C.N.Yang,Phys.Rev,Lett,19(1967)1312.[3]R.J.Baxter,Ann.Phys.,70(1992)193.[4]M.L.Ge,K.Xue,Preprint,ITP-SB-90-20,1990.[5]王鲁豫,博士论文,兰州大学,1990.[6]Y.Q.Li,J.Zhang,Commun.Theor,Phys,21(1994)435.
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Zhang Jun, Guo Hanying and Yan Hong. Knitting Ansatz and Solutions to Yang-Baxter Equation[J]. Chinese Physics C, 1997, 21(8): 714-719.
Zhang Jun, Guo Hanying and Yan Hong. Knitting Ansatz and Solutions to Yang-Baxter Equation[J]. Chinese Physics C, 1997, 21(8): 714-719. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Knitting Ansatz and Solutions to Yang-Baxter Equation

    Corresponding author: Zhang Jun,
  • ZhangJunInstituteofMathematicsandPhysics,XinjiangUniversity,Wulumuqi830046GuoHanyingYanHongInstituteofTheoreticalPhysics,TheChineseAcademyofSciences,Beijing100080

Abstract: We suggest a new method,named knitting ansatz,to generate solutions to Yang-Baxter equation with lower dimensional representations of braid group.To support our ansatz,we work out an example of a new 16×16 R-matrix constructed along this idea,with two 4×4 braid group representations of familiar 6-vertex type with different q-parameters.

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