Generalized Heisenberg Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 451-459 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the $XXZ$-model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional fusion relations of the transfer matrices are obtained. The truncation results in a closed system of equations whose solution allows obtaining the energy spectrum.
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S. Yu. Gubanov. Generalized Heisenberg Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 451-459. http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a5/

[1] M. Goden, Volnovaya funktsiya Bete, Novokuznetskii FMI, 2000 ; M. Gaudin, La fonction d'onde de Bethe, Masson, Paris, 1983 | MR | MR | Zbl

[2] L. A. Takhtadzhyan, L. D. Faddeev, UMN, 34:5 (1979), 13 | MR

[3] F. C. Alcaraz, M. N. Barber, M. T. Batchelor, R. J. Baxter, G. R. Quispel, J. Phys. A, 20 (1987), 6397 | DOI | MR

[4] V. Pasquier, H. Saleur, Nucl. Phys. B, 330 (1990), 523 | DOI | MR

[5] A. Belavin, Yu. Stroganov, Phys. Lett. B, 446 (1999), 281 ; E-print hep-th/9908050 | DOI | MR

[6] A. A. Belavin, S. Yu. Gubanov, B. L. Feigin, Moscow Mathematical Journal, 1:2 (2001), 1 ; E-print hep-th/0008011 | MR

[7] A. A. Belavin, S. Yu. Gubanov, Pisma v ZhETF, 73:9 (2001), 565

[8] Yu-kui Zhou, Fusion hierarchy and finite-size corrections of $U_q(sl(2))$ invariant vertex models with open boundaries, E-print hep-th/9502053 | MR

[9] A. N. Kirillov, N. Yu. Reshetikhin, J. Phys. A, 20 (1987), 1565 | DOI | MR

[10] C. M. Yung, M. T. Batchelor, Nucl. Phys. B, 446 (1995), 461 | DOI | MR | Zbl