Skew Young diagram method in spectral decomposition of integrable lattice models

Communications in Mathematical Physics

Volumn 185, Issue 2, 1997, Pages 441-465

  Kirillov, Anatol N ^a,c   Kuniba, Atsuo ^a   Nakanishi, Tomoki ^b,d  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

^c STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^d NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138760     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050098     Document Type: Article

References (23)

1. Andrews, G.E.: The theory of partitions. Addison-Wesley Publ, 1976
2. Arakawa, T., Nakanishi, T., Oshima, K., Tsuchiya, A.: Spectral decomposition of path space in solvable lattice model. Commun. Math. Phys. 181, 157-182 (1996)
3. Baxter, R.J.: Exactly solved models in statistical mechanics. New York: Academic Press, 1982
4. Bernard, D.: Talk given at Yukawa Institute of Theoretical Physics. Kyoto University, Nov. 1994
5. Bernard, D., Gaudin, M., D.M. Haldane, F., Pasquier, V.: Yang-Baxter equation in long-range interacting systems. J.Phys. A26, 5219-5236 (1993)
6. Bernard, D., Pasquier, V., Serban, D.: Spinons in conformal field theory. Nucl. Phys. B428, 612-628 (1994)
7. Cherednik, I.V.: A new interpretation of Gelfand-Zetlin bases. Duke Math. J. 54, 563-577 (1987)
8. Date, E., Jimbo, M., Kuniba, A., Miwa, T., Okado, M.: Path, Maya diagrams and representation of sl(r, C). Adv. Stud. in Pure Math. 19, 149-191 (1989)
9. Drinfel'd, V.G.: A new realization of Yangians and quantized affine algebras. Soviet Math. Dokl. 36, 212-216 (1988)
10. Ha, Z.N.C., Haldane, F.D.M.: Squeezed strings and Yangian symmetry of the Heisenberg chain with long-range interaction. Phys.Rev. B47, 12459-12469 (1993)
11. Haldane, F.D.M. , Ha, Z.N.C., Testra, J.C., Bernard, D., Pasquier. V.: Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory. Phys. Rev. Lett. 69, 2021 (1992)
12. Hikami, K.: Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions. Nucl.Phys. B441, [FS]530-548 (1995)
13. Kac, V.G.: Infinite dimensional Lie algebras. Third edition, Cambridge: Cambridge University Press, 1990
14. Kac V.G., Peterson, D.H.: Infinite-dimensional Lie algebras, theta functions and modular forms. Advances in Math. 53, 125-264 (1984)
15. Kang, S-J., Kashiwara, M., Misra, K., Miwa, T., Nakashima, T., Nakayashiki, A.: Affine crystals and vertex models. Int. J. Mod. Phys. A7, Suppl. 1A, 449-484 (1992)
16. Kirillov, A.N., Dilogarithm identities. Lectures in Mathematical Sciences 7, University of Tokyo, 1995; Prog. Theor. Phys. (Suppl. 118, 61-142 (1995)
17. Kirillov, A.N., Dilogarithm identities. Lectures in Mathematical Sciences 7, University of Tokyo, 1995; Prog. Theor. Phys. (Suppl. 118, 61-142 (1995)
18. 2n-1. Nucl. Phys. B355, 801-821 (1991)
19. r) from the analytic Bethe ansatz. J. Phys. A: Math. Gen. 28, 6211-6226 (1995)
20. Macdonald, I.G.: Symmetric Functions and Hall Polynomials. Second edition , Oxford: Oxford Univ. Press, 1995
21. Nazarov, M., Tarasov, V.: Representations of Yangians with Gelfand-Zetlin bases. Preprint, 1994
22. Polychronakos, A.P.: Exact spectrum of SU(n) spin chain with inverse-square exchange. Nucl. Phys. B419, [FS] 553-566 (1994)
23. Schoutens, K.: Yangian symmetry in conformal field theory. Phys. Lett. B331, 335-341 (1994)