Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland model with spin 1/2

Nuclear Physics B

Volumn 478, Issue 1-2, 1996, Pages 401-430

  Uglov, Denis ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Calogero Sutherland models; Conformal field theory; Infinite dimensional Lie algebras; Yangian symmetry

Indexed keywords

EID: 0030604995     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00387-2     Document Type: Article

References (24)

1. [1] H. Awata, Y. Matsuo, S. Odake and J. Shiraishi, Nucl. Phys. B 449 (1995) 347 (hep-th/9503043).
2. [2] H. Awata, Y. Matsuo and T. Yamamoto, Collective Field Description of Spin Calogero-Sutherland models, preprint (hep-th/ 9512065) (1995).
3. [3] D. Bernard, M. Gaudin, F.D.M. Haldane and V. Pasquier, J. Phys. A 26 (1993) 5219.
4. [4] D. Bernard, V. Pasquier and D. Serban, Nucl. Phys. B 428 [FS] (1994) 612.
5. [5] P. Bouwknegt, A.W.W. Ludwig and K. Schoutens, Phys. Lett. B 338 (1994) 448.
6. [6] B. Sutherland, J. Math. Phys. 12 (1971) 246, 251.
7. [7] V. Chari and A. Pressley, Commun. Math. Phys. 142 (1991) 261.
8. [8] V.G. Drinfel'd, Sov. Math. Dokl. 36 (1988) 212.
9. [9] C.F. Dunkl, Trans. Amer. Math. Soc. 311 (1989) 167.
10. [10] F.D.M. Haldane, Phys. Rev. Lett. 60 (1988) 635.
11. [11] F.D.M. Haldane, in Proc. of 16th Taniguchi Symposium, ed. A. Okiji and N. Kawakami (Springer, Berlin, 1994) (cond-mat/9401001).
12. [12] F.D.M. Haldane, Z.N.C. Ha, J.C. Talstra, D. Bernard and V. Pasquier, Phys. Rev. Lett. 69 (1992) 2021.
13. [13] M. Jimbo, R. Kedem, H. Konno, T. Miwa and J.-U.H Petersen, J. Phys. A 28 (1995) 5589 (q-alg/9506016).
14. [14] M. Kashiwara, T. Miwa and E. Stern, Decomposition of q-deformed Fock Spaces, preprint RIMS-1025, to appear in Selecta Mathematica (q-alg/9508006).
15. [15] V. Kac and A. Raina, Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (World Scientific, Singapore, 1987).
16. [16] H. Konno, Relativistic Calogero-Sutherland model: Spin Generalization, Quantum Affine Symmetry and Dynamical Correlation Functions, preprint YITP/K-1118 (hep-th/9508016).
17. [17] I.G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd Ed. (Clarendon, Oxford, 1995).
18. [18] V. Pasquier, A Lecture on the Calogero-Sutherland models, preprint (hep-th/9405104).
19. [19] A. Polychronakos, Phys. Rev. Lett. 70 (1993) 2329; Nucl. Phys. B 419 (1993) 553.
20. [19] A. Polychronakos, Phys. Rev. Lett. 70 (1993) 2329; Nucl. Phys. B 419 (1993) 553.
21. [20] B.S. Shastry, Phys. Rev. Lett. 60 (1988) 639.
22. [21] E. Stern, Int. Math. Res. Not. 4 (1995) 201.
23. [22] J.C. Talstra and F.D.M. Haldane, Integrals of motion of the Haldane Shastry model, preprint (cond-mat/9411065).
24. [23] D. Uglov, The trigonometric counterpart of the Haldane-Shastry model, preprint RIMS-1030 (hep-th/9508145).