On the second reference state and complete eigenstates of the open XXZ chain

Journal of High Energy Physics

Volumn 2007, Issue 4, 2007, Pages

  Yang, Wen Li ^a,b   Zhang, Yao Zhong ^b  

^a NORTHWEST UNIVERSITY   (China)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Bethe Ansatz; Lattice integrable models

Indexed keywords

EID: 34247869773     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/04/044     Document Type: Article

References (22)

1. M. Gaudin, Boundary energy of Bose gas in one dimension 1971 Phys. Rev. A 4 386
2. F.C. Alcaraz, M.N. Barber, M.T. Batchelor, R.J. Baxter and G.R.W. Quispel, Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models 1987 J. Phys. A: Math. Gen. 20 6397
3. E.K. Sklyanin, Boundary conditions for integrable quantum systems 1988 J. Phys. A: Math. Gen. 21 2375
4. R.I. Nepomechie, Functional relations and Bethe ansatz for the XXZ chain 2003 J. Stat. Phys. 111 1363 [hep-th/0211001]
5. M. Gaudin, Bethe ansatz solution of the open XXZ chain 2004 J. Phys. A: Math. Gen. 37 433 [hep-th/0304902]
6. J. Cao, H.-Q. Lin, K.-J. Shi and Y. Wang, Exact solution of XXZ spin chain with unparallel boundary fields 2003 Nucl. Phys. B 663 487 [cond-mat/0212163]
7. W.-L. Yang, Y.-Z. Zhang and M. Gould, Exact solution of the XXZ Gaudin model with generic boundaries 2004 Nucl. Phys. B 698 503
8. J. de Gier, A. Nichols, P. Pyatov and V. Rittenberg, Magic in the spectra of the XXZ quantum chain with boundaries at δ ≤ 0 and δ ≤ -1/2 2005 Nucl. Phys. B 729 387 [hep-th/0505062]
9. A. Doikou and P.P. Martin, On quantum group symmetry and Bethe Ansatz for the asymmetric twin spin chain with integrable boundary 2006 J. Stat. Mech. 6 4
10. W.-L. Yang, R.I. Nepomechie and Y.-Z. Zhang, Q-operator and T-Q relation from the fusion hierarchy 2006 Phys. Lett. B 633 664 [hep-th/0511134]
11. R.I. Nepomechie and F. Ravanini, Completeness of the Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms 2003 J. Phys. A: Math. Gen. 36 11391 [hep-th/0304092] [Addendum 2004 J. Phys. A: Math. Gen. 37 1945]
12. V.E. Korepin, N.M. Bogoliubov and A.G. Izergin, Quantum inverse scattering method and correlation function (Cambridge Univ. Press), Cambridge (1993)
13. n-1 vertex models, 1993 J. Phys. A: Math. Gen. 26 519 [hep-th/9211114]
14. S. Ghoshal and A.B. Zamolodchikov, Boundary S matrix and boundary state in two-dimensional integrable quantum field theory 1994 Int. J. Mod. Phys. A 9 3841 [hep-th/9306002]
15. R.J. Baxter, Exactly solved models in statistical mechanics (Academic Press), New York (1982)
16. N Belavin model with open boundary condition 2004 Nucl. Phys. B 679 495 [hep-th/0308127]
17. n-1 SOS model, 2004 J. Math. Phys. 45 4301 [hep-th/0308118]
18. K. Hikami, Gaudin magnet with boundary and generalized Knizhnik-Zarnolodchikov equation 1995 J. Phys. A: Math. Gen. 28 4997
19. E.K. Sklyanin and T. Takebe, Algebraic Bethe ansatz for XYZ Gaudin model 1996 Phys. Lett. A 219 217 [q-alg/9601028]
20. R. Murgan, R.I. Nepomechie and C. Shi, Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity 2006 J. Stat. Mech. P08006
21. P. Baseilhac and K. Koizumi, Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory [hep-th/0703106]
22. W.-L. Yang and Y.-Z. Zhang, in preparation