Boson-fermion duality in SU (m | n) supersymmetric Haldane-Shastry spin chain

Nuclear Physics B

Volumn 782, Issue 3, 2007, Pages 276-295

  Basu Mallick, B ^a   Bondyopadhaya, Nilanjan ^a   Hikami, Kazuhiro ^b   Sen, Diptiman ^c  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

^b UNIVERSITY OF TOKYO   (Japan)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Boson fermion duality; Haldane Shastry spin chain; Partition function; Supersymmetry

Indexed keywords

EID: 34548454434     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.05.007     Document Type: Article

References (40)

1. Coleman S. Phys. Rev. D 11 (1975) 2088
2. Cheon T., and Shigehara T. Phys. Rev. Lett. 76 (1999) 2536
3. Cheon T., Fulop T., and Tsutsui I. Ann. Phys. 294 (2001) 1
4. Tomonaga S. Prog. Theor. Phys. 5 (1950) 544
5. Luttinger J.M. J. Math. Phys. 4 (1963) 1154
6. Mattis D.C., and Lieb E. J. Math. Phys. 6 (1965) 304
7. Dhar A., and Mandal G. Phys. Rev. D 74 (2006) 105006
8. Enciso A., and Polychronakos A.P. Nucl. Phys. B 751 (2006) 376
9. Essler F.H.L., and Korepin V.E. Exactly Solvable Models of Strongly Correlated Electrons (1994), World Scientific, Singapore
10. Schlottmann P. Int. J. Mod. Phys. B 11 (1997) 355
11. Read N., and Saleur H. Enlarged symmetry algebras of spin chains, loop models, and S-matrices. cond-mat/0701259
12. Haldane F.D.M. Phys. Rev. Lett. 60 (1988) 635
13. Shastry B.S. Phys. Rev. Lett. 60 (1988) 639
14. Polychronakos A.P. Phys. Rev. Lett. 70 (1993) 2329
15. Polychronakos A.P. Nucl. Phys. B 419 (1994) 553
16. Frahm H. J. Phys. A 26 (1993) L473
17. Bernard D., Gaudin M., Haldane F.D.M., and Pasquier V. J. Phys. A 26 (1993) 5219
18. Polychronakos A.P. J. Phys. A 39 (2006) 126793
19. Haldane F.D.M. In: Okiji A., and Kawakami N. (Eds). Proceedings of the 16th Taniguchi Symposium. Kashikojima, Japan, 1993 (1994), Springer
20. Kuramoto Y., and Yokoyama H. Phys. Rev. Lett. 67 (1991) 1338
21. Sutherland B., and Shastry B.S. Phys. Rev. Lett. 71 (1993) 5
22. Basu-Mallick B. Nucl. Phys. B 540 (1999) 679
23. Basu-Mallick B., Ujino H., and Wadati M. J. Phys. Soc. Jpn. 68 (1999) 3219
24. Hikami K., and Basu-Mallick B. Nucl. Phys. B 566 PM (2000) 511
25. Basu-Mallick B., and Bondyopadhaya N. Nucl. Phys. B 757 FS (2006) 280
26. Thomale R., Schuricht D., and Greiter M. Phys. Rev. B 74 (2006) 024423
27. Finkel F., and Gonzalez-Lopez A. Phys. Rev. B 72 (2005) 174411
28. Ahn C., and Koo W.M. Phys. Lett. B 365 (1996) 105
29. Ju G., Wang S., and Wu K. J. Math. Phys. 39 (1998) 2813
30. Molev A. In: Olshanski G. (Ed). Kirillov's Seminar on Representation Theory. American Mathematical Society Translations, Ser. 2 vol. 181 (1997) 109. q-alg/9606008
31. Olshanski G., Regev A., and Vershik A. Studies in Memory of Issai Schur. Chevaleret/Rehovot, 2000. Progress in Mathematics vol. 210 (2003), Birkhäuser, Boston 251. math.CO/0110077
32. Nazarov M.L. Lett. Math. Phys. 21 (1991) 123
33. Haldane F.D.M., Ha Z.N.C., Talstra J.C., Bernard D., and Pasquier V. Phys. Rev. Lett. 69 (1992) 2021
34. Fulton W. Young Tableaux (1997), Cambridge Univ. Press
35. Kirillov A.N., Kuniba A., and Nakanishi T. Commun. Math. Phys. 185 (1997) 441
36. Hikami K. Nucl. Phys. B 441 FS (1995) 530
37. Balantekin A.B., and Bars I. J. Math. Phys. 23 (1982) 1239
38. Bars I., Morel B., and Ruegg H. J. Math. Phys. 24 (1983) 22253
39. Bouwknegt P., and Schoutens K. Nucl. Phys. B 482 (1996) 345
40. Schoutens K. Phys. Lett. B 331 (1994) 335