Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 9, 2007, Pages

  Baseilhac, Pascal ^a   Koizumi, Kozo ^b  

^a CNRS Laboratoire de Mathématiques et Physique Théorique   (France)

^b KYOTO SANGYO UNIVERSITY   (Japan)

Author keywords

Algebraic structures of integrable models; Boundary solvable models; Integrable spin chains (vertex models); Symmetries of integrable models

Indexed keywords

EID: 36148943128     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/09/P09006     Document Type: Article

References (30)

1. Bethe H 1931 Z. Phys. 71 205
2. Onsager L 1944 Phys. Rev. 65 117
3. Kaufman B and Onsager L 1949 Phys. Rev. 76 1244
4. Sklyanin E K 1988 J. Phys. A: Math. Gen. 21 2375
5. Alcaraz F C, Barber M N, Bachelor M T, Baxter R J and Quispel G R W 1987 J. Phys. A: Math. Gen. 20 6397
6. Nepomechie R I 2002 Nucl. Phys. B 622 615
7. Nepomechie R I and Ravanini F 2003 J. Phys. A: Math. Gen. 36 11391
8. Nepomechie R I and Ravanini F 2004 J. Phys. A: Math. Gen. 37 1945 (addendum)
9. Murgan R and Nepomechie R I 2005 J. Stat. Mech. P05007
10. Cao J, Lin H-Q, Shi K-J and Wang Y 2003 Nucl. Phys. B 663 487
11. Yang W-L and Zhang Y-Z 2007 J. High Energy Phys. JHEP04(2007)044
12. Murgan R, Nepomechie R I and Shi C 2006 J. Stat. Mech. P08006
13. Baseilhac P 2005 Nucl. Phys. B 709 491
14. Baseilhac P 2005 Nucl. Phys. B 705 605
15. Baseilhac P and Koizumi K 2005 J. Stat. Mech. P10005
16. von Gehlen G and Rittenberg V 1985 Nucl. Phys. B 257 351
17. Davies B 1990 J. Phys. A: Math. Gen. 23 2245
18. Davies B 1991 J. Math. Phys. 32 2945
19. Baseilhac P 2006 J. Phys. A: Math. Gen. 39 11773
20. de Vega H J and González-Ruiz A 1994 J. Phys. A: Math. Gen. 27 6129
21. Ghoshal S and Zamolodchikov A B 1994 Int. J. Mod. Phys. A 9 3841
22. Baseilhac P and Koizumi K 2005 Nucl. Phys. B 720 325
23. Terwilliger P 1993 J. Algebraic Combin. 2 177
24. Ito T, Tanabe K and Terwilliger P 2001 Some algebra related to P- and Q-polynomial association schemes Codes and Association Schemes (Piscataway, NJ, 1999) (DIMACS Ser. Discrete Math. Theoret. Comput. Sci. vol 56) (Providence, RI: Amer. Math. Soc.) pp 167-192
25. Terwilliger P 2003 Two relations that generalize the q-Serre relations and the Dolan-Grady relations Preprint math.QA/0307016
26. Baseilhac P 2006 Nucl. Phys. B 754 309
27. Nichols A, Rittenberg V and de Gier J 2005 J. Stat. Mech. P03003
28. de Gier J, Nichols A, Pyatov P and Rittenberg V 2005 Nucl. Phys. B 729 387
29. Nichols A 2006 J. Stat. Mech. L02004
30. Baseilhac P 2005 unpublished