Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values

HU Zhan-Ning; HOU Bo-Yu

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(11) : 978-990

Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values

HU Zhan-Ning ^, ,
HOU Bo-Yu

Institute of Modern Physics Northwest University,Xi'an 710069

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Abstract：
We constructed the factorizable S-matrix and obtained the symmetry operator which commutes with the S-matrix and has a new form of "coproduct",the elements of which depend on the parameters defining the toroidal rapidity surface.By defining a new operator which commutes with the symmetry operator the Yang-Baxter equation can be obtained.Finally,the relation between the broken Z_N symmetric model and the chiral Potts model was expressed explicitly in the selfdual genus zero limit.

References

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P. P. Kulish, N. Yu. Reshetikhin and E. K. Sklyanin, Lctt. Math. Phys., 5 (1981), 393; M.Jimbo, Lctt. Matb., Phys., 10 (1985), 63[2] V. A. Fateev, Integrable deformations in Z -symmetrical models of conformal quantum fieldtheory, LPTHE preprint 90-52, June 1990,[3] L. D. Faddeev, Sov. Sci. Rev., C1 (1980), 107,[4] M. Kashiwara and T. Miwa, Nwcl. Phys., B275 (1986), 121,[5] V. Fateev and A. B. Zamolodchikov, Phys. Lett., A (1982), 37,[6] R. J. Bazter, V. V. Bazhanov and J. H. H. Perk, Functional relations for transfer matricesof the chiral Potts model, preprint, CMA-R38-89,[7] D. Bernard and V. Pasquier, Ezchange algebra and ezotic supersymmetry in the chiral Pottsmodel, Preprint, SPhT/89-204,[8] V. V. Bazhanov, Yu. G. Stroganov, Chiral Potts model as a descendant of the six-vertez model, preprint, CMA-R34-89,[9] K. Hasegawa and Y. Yamada, Phys. Latt., A146(1990), 387,[10] M. Jimbo, T. Miwa and M. Okado, Nacl. Phys., B275 (1986), 517,[11] R. J. Baxter, Exactly solved models in statistical mechanics (Academic Press, London, 1982).

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HU Zhan-Ning and HOU Bo-Yu. Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values[J]. Chinese Physics C, 1992, 16(11): 978-990.

HU Zhan-Ning and HOU Bo-Yu. Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values[J]. Chinese Physics C, 1992, 16(11): 978-990. 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

Factorizable S-Matrix and Symmetry Operator With Toroidal Rapidity Values

HU Zhan-Ning ^,
HOU Bo-Yu

Corresponding author: HU Zhan-Ning,

Institute of Modern Physics Northwest University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-11-05

Abstract: We constructed the factorizable S-matrix and obtained the symmetry operator which commutes with the S-matrix and has a new form of "coproduct",the elements of which depend on the parameters defining the toroidal rapidity surface.By defining a new operator which commutes with the symmetry operator the Yang-Baxter equation can be obtained.Finally,the relation between the broken Z_N symmetric model and the chiral Potts model was expressed explicitly in the selfdual genus zero limit.