The open XXZ and associated models at q root of unity

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 9, 2006, Pages

  Doikou, Anastasia ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Integrable spin chains (vertex models); Quantum integrability (Bethe ansatz)

Indexed keywords

EID: 42749106126     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/09/P09010     Document Type: Review

References (95)

1. Faddeev L, Sklyanin E and Takhtajan L 1980 Theor. Math. Phys. 40 688
2. Faddeev L D and Takhtajan L A 1984 J. Sov. Math. 24 241
3. Faddeev L D and Takhtajan L A 1981 Phys. Lett. A 85 375
4. Korepin V E 1980 Theor. Math. Phys. 76 165
5. Korepin V E, Izergin G and Bogoliubov N M 1993 Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge: Cambridge University Press)
6. Baxter R J 1972 Ann. Phys., NY 70 193
7. Baxter R J 1973 J. Stat. Phys. 8 25
8. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (New York: Academic)
9. Takhtajan L A 1990 Quantum Groups Introduction to Quantum Groups and Integrable Massive models of Quantum Field Theory (Nankai Lectures on Mathematical Physics) ed M-L Ge and B-H Zhao (Singapore: World Scientific) p 69
10. Cherednik I V 1984 Theor. Math. Phys. 61 977
11. Sklyanin E K 1988 J. Phys. A: Math. Gen. 21 2375
12. Bethe H 1931 Z. Phys. 71 205
13. Ogievetsky E, Reshetikhin N Yu and Wiegmann P 1987 Nucl. Phys. B 280 45
14. Doikou A and Nepomechie R I 1998 Nucl. Phys. B 521 547
15. Doikou A and Nepomechie R I 1998 Nucl. Phys. B 530 641
16. Takahashi M 1971 Prog. Theor. Phys. 46 401
17. Takahashi M and Suzuki M 1972 Prog. Theor. Phys. 48 2187
18. Takahashi M 1999 Thermodynamics of One-Dimensional Solvable Models (Cambridge: Cambridge University Press)
19. Johnson J D and McCoy B M 1972 Phys. Rev. A 6 1613
20. Filyov V M, Tsvelik A M and Wiegmann P B 1981 Phys. Lett. A 81 175
21. Tsvelik A M and Wiegmann P B 1983 Adv. Phys. 32 453
22. Babujian H 1983 Nucl. Phys. B 215 317
23. Maillet J M and Terras V 2000 Nucl. Phys. B 575 627
24. Kitanine N, Maillet J M and Terras V 2002 Nucl. Phys. B 641 487
25. Minahan J and Zarembo K 2003 J. High Energy Phys. JHEP03(2003)013
26. Gaudin M 1971 Phys. Rev. A 4 386
27. Gaudin M 1983 La Fonction d'Onde de Bethe (Paris: Masson)
28. Alcaraz F C, Barber M N, Batchelor M T, Baxter R J and Quispel G R W 1987 J. Phys. A: Math. Gen. 20 6397
29. Nepomechie R I 2003 J. Stat. Phys. 111 1363
30. Cao J, Lin H-Q, Shi K-J and Wang Y 2003 Nucl. Phys. B 663 487
31. Doikou A 2003 Nucl. Phys. B 668 447
32. Doikou A 2002 Nucl. Phys. B 634 591
33. Melo C S, Ribeiro G A P and Martins M J 2005 Nucl. Phys. B 711 137
34. Doikou A and Martin P P 2006 J. Stat. Mech. P06004
35. Nichols A, Rittenberg V and de Gier J 2005 J. Stat. Mech. P03003
36. de Gier J, Nichols A, Pyatov P and Rittenberg V 2005 Nucl. Phys. B 729 387
37. Nichols A 2006 J. Stat. Mech. L02004
38. Bajnok Z 2006 J. Stat. Mech. P06010
39. Roche P and Arnaudon D 1989 Lett. Math. Phys. 17 295
40. Zabrodin A V 1996 Theor. Math. Phys. 104 762
41. Zhou H-Q, Ge X-Y, Links J and Gould M D 1998 Preprint cond-mat/9809056
42. Frahm H and Slavnon N 1999 J. Phys. A: Math. Gen. 32 1547
43. Wang Y and Schlottmann P 2000 Phys. Rev. B 62 3845
44. Doikou A and Martin P P 2003 J. Phys. A: Math. Gen. 36 2203
45. Baseilhac P and Koizumi K 2003 Nucl. Phys. B 649 491
46. Wiegmann P B and Zabrodin A V 1994 Nucl. Phys. B 422 495
47. Faddeev L D and Kashaev R M 1995 Commun. Math. Phys. 169 181
48. Floratos E G and Nicolis S 1998 J. Phys. A: Math. Gen. 31 3961
49. Takhtajian L A and Faddeev L D 1979 Russ. Math. Sur. 34 13
50. Kuznetsov V B, Salermo M and Sklyanin E K 2000 J. Phys. A: Math. Gen. 33 171
51. Sklyanin E K 1999 Preprint solv-int/9908002
52. Kuznetsov V B and Sklyanin E K 2005 Preprint math.CO/0509298
53. Lipatov L N 1994 JETP Lett. 59 596
54. Faddeev L D and Korchemsky G P 1994 Phys. Lett. B 325 459
55. Derkachov S E, Korchemsky G P and Manashov A N 2001 Nucl. Phys. B 617 375
56. de Vega H J and Lipatov L N 2001 Phys. Rev. D 64 114019
57. Dayi O F 1998 J. Phys. A: Math. Gen. 31 181
58. Izergin A G and Korepin V E 1981 Lett. Math. Phys. 5 199
59. Izergin A G and Korepin V E 1982 Nucl. Phys. B 205 401
60. Faddeev L D and Tirkkonen O 1995 Nucl. Phys. B 453 647
61. Kovalsky A E and Pronko G P 2003 Preprint nlin.SI/0307040
62. Kovalsky A E and Pronko G P 2002 Preprint nlin.SI/0204066
63. Eilbeck J C, Londahl P S and Scott A C 1985 Physica D 16 318
64. Scott A C and Eilbeck J C 1986 Phys. Lett. A 119 60
65. Enolskii V Z, Salermo M, Kostov N A and Scott A C 1991 Phys. Scr. 43 229
66. Enolskii V Z, Kuznetsov V B and Salermo M 1993 Physica D 68 138
67. Christiansen P L, Jorgensen M F and Kuznetsov V B 1993 Lett. Math. Phys. 29 165
68. Volkov A Yu 1992 Phys. Lett. A 167 345
69. Volkov A Yu 1997 Lett. Math. Phys. 39 313
70. Kundu A 1995 Mod. Phys. Lett. A 10 2955
71. Fioravanti D and Rossi M 2002 J. Phys. A: Math. Gen. 35 3647
72. Levy D and Martin P P 1994 J. Phys. A: Math. Gen. 27 L521
73. Martin P P, Woodcock D and Levy D 2000 J. Phys. A: Math. Gen. 33 1265
74. Temperley H N V and Lieb E H 1971 Proc. R. Soc. A 322 251
75. Cherednik I 1991 Invent. Math. 106 411
76. Martin P P and Saleur H 1994 Lett. Math. Phys. 30 189
77. Martin P P and Saleur H 1994 Int. J. Mod. Phys. B 8 3637
78. Martin P P and Woodcock D 2003 LMS JCM 6 249
79. Jimbo M 1985 Lett. Math. Phys. 10 63
80. Jimbo M 1986 Lett. Math. Phys. 11 247
81. de Vega H J and Gonzalez-Ruiz A 1993 J. Phys. A: Math. Gen. 26 L519
82. Ghoshal S and Zamolodchikov A B 1994 Int. J. Mod. Phys. A 9 3841
83. Ghoshal S and Zamolodchikov A B 1994 Int. J. Mod. Phys. A 9 4353 (erratum)
84. Mezincescu L and Nepomechie R I 1998 Int. J. Mod. Phys. A 13 2747
85. Delius G and Mackay N 2003 Commun. Math. Phys. 233 173
86. Doikou A 2005 J. Stat. Mech. P12005
87. Doikou A 2005 J. Math. Phys. 46 053504
88. Baseilhac P 2005 Nucl. Phys. B 709 491
89. Baseilhac P 2005 Nucl. Phys. B 705 605
90. Baseilhac P and Koizumi K 2005 Nucl. Phys. B 720 325
91. Bernard D and LeClair A 1991 Commun. Math. Phys. 142 99
92. Doikou A 2005 Nucl. Phys. B 725 493
93. Babujian H M and Flume R 1994 Mod. Phys. Lett. A 9 2029
94. Kac V 1990 Infinite Dimensional Lie Algebras (Cambridge: Cambridge University Press)
95. Drinfeld V G 1986 Proc. 1986 Int. Congress of Mathematics (Berkeley, 1986) ed A M Gleason (Providence, RI: American Physical Society) p 798