Knitting Ansatz and Solutions to Yang-Baxter Equation

Zhang Jun; Guo Hanying; Yan Hong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(8) : 714-719

Knitting Ansatz and Solutions to Yang-Baxter Equation

ZhangJunInstituteofMathematicsandPhysics,XinjiangUniversity,Wulumuqi830046GuoHanyingYanHongInstituteofTheoreticalPhysics,TheChineseAcademyofSciences,Beijing100080

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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.

References

[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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[20]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.

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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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沈阳化工大学材料科学与工程学院沈阳 110142

Knitting Ansatz and Solutions to Yang-Baxter Equation

Corresponding author: Zhang Jun,

ZhangJunInstituteofMathematicsandPhysics,XinjiangUniversity,Wulumuqi830046GuoHanyingYanHongInstituteofTheoreticalPhysics,TheChineseAcademyofSciences,Beijing100080

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

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.