Constant Solutions to the Reflection Equation of 19 vertex Model

  • We present the constant solutions with all matric elements non-Vanishing to the reflection equation of 19 vertex model-A2(1) model. Some nondigonal solutions are also obtained.
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  • [1] l Sklyanin E X J. Phys., 1988 A21:2735 2 Mezincescu L, Nepomechie R I. J. Phys., 1991, A24:L17 3 Mezincescu L, Nepomechie R I. Int. J. Mod. Phys., 1991, A6:5231 4 de Vega H J, Gonzalez–Ruiz A. J Phys., 1993, A26: L5195 Gonzalez–Ruiz A. Nucl. Phys., 1994, B424:4686 FU H C, co M L. J. Phys., 1994, A27:44577 HOU B Y, YUE R H. Phys. Lett., 1993, A183:169 8 HOU B Y, SHI K J, FAN H et al. Commun. Theor. Phys., 1995, 23: 163 9 Batchelor M T, Fridkin V, Kuniba A et al. Phys. Lett., 1996, B376: 266–274 10 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)11 SHI KangJie, LI GuangLiang, FAN Heng et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(5): 425(石康杰,李广良,范行等高能物理与核物理,1999,23(5):425) 12 Kim J D. hep–th/941219213 Jimbo M. Commun. Math. Phys., 1986, 102:53714 Bazhanov V V. Commun. Math. Phys., 1987, 113:471 15 YANG C N, YANG C P. Phys. Rev., 1966, 105:321––322; 1966, 151:258 16 Baxter R J. Exactly Solved Models in Statitical Mechanics. London: Academic Press. 1982
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SHI KangJie, LI GuangLiang, FAN Heng, YUE RuiHong and HOU BoYu. Constant Solutions to the Reflection Equation of 19 vertex Model[J]. Chinese Physics C, 2000, 24(1): 21-34.
SHI KangJie, LI GuangLiang, FAN Heng, YUE RuiHong and HOU BoYu. Constant Solutions to the Reflection Equation of 19 vertex Model[J]. Chinese Physics C, 2000, 24(1): 21-34. shu
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Received: 1998-11-24
Revised: 1900-01-01
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Constant Solutions to the Reflection Equation of 19 vertex Model

    Corresponding author: SHI KangJie,
  • Institue of Modern Physics, Northwest University, Xi'an 710069, China

Abstract: We present the constant solutions with all matric elements non-Vanishing to the reflection equation of 19 vertex model-A2(1) model. Some nondigonal solutions are also obtained.

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