Chinese Physics C > 2000, Vol. 24 > Issue(1): 11-20

Constant Solutions to the Reflection Equation of 15 Vertex Model

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

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Abstract：
The non-diagonal solutions to the reflection equation of 15 vertex model A2(1) model and supersymmetric t-J model were obtained. The results show that solutions of A2(1) model' have three forms and each form contains two solutions; the solution of supersymmetric t-J model' takes only one form in which there are two solutions; each one of all those nondiagonal solutions only have three arbitr ary parameters.

References

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Sklyanin E K J. Phys., 1988, A21:2735 2 Mezicescu L, Nepomechie R I. J. Phys., 1991, A24:L173 de Vega H J, Gonzalez–Ruiz A. J. Phys., 1993, A26:L519 4 Gonzalez–Ruiz A. Nucl. Phys., 1994, B424:4685 FU H C, GE M L. J. Phys., 1994, A27:4457 6 HOU B Y, YUE R H. Phys. Lett., 1993, A183: 169 7 HOU B Y, SHI K J, FAN H et al. Commun. Theor. Phys., 1995, 23: 163 8 Batchelor M T, Fridkin V, Kuniba A et al. Phys. Lett, 1996, B376:266–2749 CHEN Min, HOU BoYu, SHI KangJie. High Energy Phys. and Nucl. Phys. (in Chinese), 1996. 20:794(陈敏,侯伯宇,石康杰.高能物理与核物理,1996,20:794)10 SHI KangJie, LI GuangLiang, FAN Heng et al. High Energy Phis. and Nucl. Phys. (in Chinese), 1999, 23:425(石康杰,李广良,范桁等.高能物理与核物理,1999,23:425) 11 Perk J H, Schultz C L Phys. Lett., 1981, A84:40712 YANG C N, YANG C P. Phys. Rev. Lett., 1966, 105:321–322; 1966, 151:258 13 Baxter R J. Exactly Solved Models in Statitical Mechanics. London: Academic Press, 1982 14 Babelon O, de Vega H J, Viallet C M. Nucl. Phys., 1981, B190:542

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SHI KangJie, LI GuangLiang, FAN Heng and HOU BoYu. Constant Solutions to the Reflection Equation of 15 Vertex Model[J]. Chinese Physics C, 2000, 24(1): 11-20.

SHI KangJie, LI GuangLiang, FAN Heng and HOU BoYu. Constant Solutions to the Reflection Equation of 15 Vertex Model[J]. Chinese Physics C, 2000, 24(1): 11-20. shu

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Received: 1998-11-09
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

Constant Solutions to the Reflection Equation of 15 Vertex Model

Corresponding author:SHI KangJie,

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

Received Date:1998-11-09
Accepted Date:1900-01-01
Available Online:2000-01-05

Abstract:The non-diagonal solutions to the reflection equation of 15 vertex model A2(1) model and supersymmetric t-J model were obtained. The results show that solutions of A2(1) model' have three forms and each form contains two solutions; the solution of supersymmetric t-J model' takes only one form in which there are two solutions; each one of all those nondiagonal solutions only have three arbitr ary parameters.