Multi-point local height probabilities in the integrable RSOS model

Nuclear Physics B

Volumn 473, Issue 3, 1996, Pages 631-658

  Lukyanov, Sergei ^a,b,c   Pugai, Yaroslav ^a,c  

^a KYOTO UNIVERSITY   (Japan)

^b Department of Obstetrics Gynecology   (United States)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

Deformed virasoro algebra; Local height probabilities; Vertex operators

Indexed keywords

EID: 0030581204     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00221-0     Document Type: Article

References (31)

1. [1] C. Domb and J.L. Lebowitz, Phase transitions and Critical Phenomena, Vol. 12 (Academic Press, New York, 1988).
2. [2] R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
3. [3] M. Jimbo, ed., Yang-Baxter equation in integrable systems (World Scientific, Singapore, 1989).
4. [4] G. Andrews, R. Baxter and J. Forrester, J. Stat. Phys. 35 (1984) 193.
5. [5] A. LeClair, Phys. Lett. B 230 (1989) 103.
6. [6] R.J. Baxter, Philos. Trans. R. Soc. London Ser. A 289 (1978) 315.
7. [7] R.J. Baxter, J. Stat. Phys. 15 (1976) 485.
8. [8] R.J. Baxter, Ann. Phys. 70 (1972) 193.
9. [9] S. Lukyanov, Commun. Math. Phys. 167, 1 (1995) 183; Phys. Lett. B 325 (1994) 409.
10. [9] S. Lukyanov, Commun. Math. Phys. 167, 1 (1995) 183; Phys. Lett. B 325 (1994) 409.
11. [10] D.A. Huse, Phys. Rev. B 30 (1984) 3908.
12. [11] E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Nucl. Phys. B 290 (1987) 231; Adv. Stud. Pure Math. 16 (1988) 17.
13. [11] E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Nucl. Phys. B 290 (1987) 231; Adv. Stud. Pure Math. 16 (1988) 17.
14. [12] H. Saleur and M. Bauer, Nucl. Phys. B 320 (1989) 591.
15. [13] A. Rocha-Caridi, Representation theory of the Virasoro and super Virasoro algebras: irreducible characters, in Infinite Lie Algebras and Conformal Invariance In Condensed Matter and Particle Physics, Proceedings (Bonn, 1986) pp. 59-80.
16. [14] O. Foda, M. Jimbo, T. Miwa, K. Miki and A. Nakayashiki, J. Math. Phys. 35 (1994) 13.
17. [15] Vl. S. Dotsenko and V.A. Fateev, Nucl. Phys. B 240 [FS12] (1984) 312; Nucl. Phys. B 251 [FS13] (1985) 691.
18. [15] Vl. S. Dotsenko and V.A. Fateev, Nucl. Phys. B 240 [FS12] (1984) 312; Nucl. Phys. B 251 [FS13] (1985) 691.
19. [16] B. Davies, O. Foda, M. Jimbo, T. Miwa and A. Nakayashiki, Commun. Math. Phys. 151 (1993) 89.
20. [17] M. Jimbo, K. Miki, T. Miwa and A. Nakayashiki, Phys. Lett. A 168 (1992) 256.
21. [18] G. Felder, Nucl. Phys. B 317 (1989) 215.
22. [19] M. Lashkevich and Ya. Pugai, unpublished.
23. [20] B.L. Feigin and D.B. Fuchs, Representations of the Virasoro algebra, in Lecture Notes in Mathematics, ed. L.D. Faddeev and A.A. Mal'cev, Vol. 1060 (Springer, Berlin, 1984).
24. [21] L. Clavelli and J.A. Shapiro, Nucl. Phys. B 57 (1973) 490.
25. [22] M. Jimbo and T. Miwa, Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime, RIMS preprint RIMS-1058 (1996), hep-th/9601135.
26. [23] S. Lukyanov and Ya. Pugai, Bosonization of ZF algebras: Direction toward deformed Virasoro algebra, Rutgers preprint RU-94-41 (1994), hep-th/9412128.
27. [24] J. Shiraishi, H. Kubo, H. Awata, and S. Odake, a quantum deformation of the Virasoro algebra and the Macdonald symmetric functions, preprint YITP/U-95-30, DPSU-95-5, UT-715 (1995) (q-alg/9507034).
28. [25] B. Feigin and E. Frenkel, Quantum W-algebras and elliptic algebras, preprint (1995) (q-alg/9508009).
29. [26] E. Frenkel and N. Reshetikhin, Quantum affine algebras and deformations of the Virasoro and W-algebras, preprint (1995) (q-alg/9505025).
30. [27] S. Lukyanov, Phys. Lett. B 367 (1996) 121.
31. [28] C. Itzykson, H. Saleur and J.-B. Zuber, eds., Conformal Invariance and Applications to Statistical Mechanics (World Scientific, Singapore, 1988).