Heisenberg spin chains based on sℓ(2|1) symmetry

Nuclear Physics B

Volumn 583, Issue 3, 2000, Pages 691-720

  Derkachov, S ^a,c   Karakhanyan, D ^b   Kirschner, R ^c  

^a ST PETERSBURG STATE INSTITUTE OF TECHNOLOGY TECHNICAL UNIVERSITY   (Russian Federation)

^b YEREVAN PHYSICS INSTITUTE   (Armenia)

^c UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Bjorken limit; Graded algebras; Integrable spin chains; Yang Baxter equation

Indexed keywords

EID: 0000035426     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00346-1     Document Type: Article

References (39)

1. M. Scheunert, W. Nahm, V. Rittenberg, J. Math. Phys. 18 (1977) 155.
2. P.D. Jarvis, H.S. Green, J. Math. Phys. 20 (1979) 2115.
3. M. Marcu, J. Math. Phys. 21 (1980) 1277; J. Math. Phys. 21 (1980) 1284.
4. M. Marcu, J. Math. Phys. 21 (1980) 1277; J. Math. Phys. 21 (1980) 1284.
5. D. Arnaudon, C. Chryssomalakos, L. Frappat, J. Math. Phys. 36 (1995) 5262.
6. L. Frappat, P. Sorba, A. Sciarrino, Dictionary on Lie superalgebras, hep-th/9607161.
7. Z. Maassarani, J. Phys. A 28 (1995) 1305.
8. P.B. Ramos, M.J. Martins, Nucl. Phys. B 474 (1996) 678.
9. F. Eßler, V. Korepin, Phys. Rev. B 46 (1992) 9147.
10. A. Foerster, M. Karowski, Nucl. Phys. B 396 (1993) 611.
11. M.P. Pfannmüller, H. Frahm, Nucl. Phys. B 479 (1996) 575.
12. I. Cherednik, Theor. Math. Fiz. 61 (1984) 35.
13. E.K. Sklyanin, J. Phys. A 21 (1988) 2375.
14. N. Andrei, H. Johannesson, Phys. Lett. A 100 (1984) 108.
15. H. Frahm, M.P. Pfannmüller, A.M. Tsvelik, Phys. Rev. Lett. 81 (1998) 2116.
16. A. Foerster, M. Karowski, Nucl. Phys. B 408 (1993) 512.
17. A. Foerster, J. Phys. A 29 (1996) 7625.
18. D. Arnaudon, JHEP 12 (1997) 006.
19. J. Links, A. Foerster, J. Phys. A 32 (1999) 147.
20. A. Foerster, J. Links, A.P. Tonel, Nucl. Phys. B 552 (1999) 707.
21. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models, Padova preprint DFPD-93-TH-70B, JETP Lett. 59 (1994) 596.
22. L.D. Faddeev, G.P. Korchemsky, Phys. Lett. B 342 (1995) 311.
23. V. Braun, S. Derkachov, A. Manashov, Phys. Rev. Lett. 81 (1998) 2020.
24. V. Braun, S. Derkachov, G. Korchemsky, A. Manashov, Nucl. Phys. B 553 (1999) 355.
25. S. Derkachov, G. Korchemsky, A. Manashov, Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains, hep-ph/9909539.
26. A. Belitsky, hep-ph/9907420, hep-ph/9903512, Phys. Lett. B 453 (1999) 59.
27. D. Karakhanian, R. Kirschner, Conserved currents of the three-reggeon interaction, hep-th/9902147.
28. D. Karakhanian, R. Kirschner, High-energy scattering in gauge theories and integrable spin chains, hep-th/9902031, Fortschr. Phys. 48 (2000) 139.
29. A.P. Bukhvostov, G.V. Frolov, L.N. Lipatov, E.A. Kuraev, Nucl. Phys. B 258 (1985) 601.
30. A. Belitsky, D. Müller, A. Schäfer, Implications of N = 1 supersymmetry for QCD conformal operators, hep-ph/9811484, Phys. Lett. B 450 (1999) 126.
31. H. Frahm, Doped Heisenberg chains: spin S generalizations of the supersymmetric t-J model, cond-mat/9904157, Nucl. Phys. B 559 (1999) 613.
32. P.P. Kulish, N.Yu. Reshetikhin, E.K. Sklyanin, Lett. Math. Phys. 5 (1981) 393-403.
33. E.K. Sklyanin, Quantum inverse scattering method. Selected topics, in: Mo-Lin Ge (Ed.), Quantum Group and Quantum Integrable Systems, Nankai Lectures in Mathematical Physics, World Scientific, Singapore, 1992, pp. 63-97; hep-th/9211111.
34. P.P. Kulish, E.K. Sklyanin, Zap. Nauchn. Sem. LOMI 95 (1980) 129.
35. P.P. Kulish, Zap. Nauchn. Sem. LOMI 145 (1985) 140; J. Sov. Math. 35 (1986) 1111.
36. P.P. Kulish, Zap. Nauchn. Sem. LOMI 145 (1985) 140; J. Sov. Math. 35 (1986) 1111.
37. P.P. Kulish, Yang-Baxter equation and reflection equations in integrable models, hep-th/9507070.
38. V.O. Tarasov, L.A. Takhtajan, L.D. Faddeev, Theor. Math. Phys. 57 (1983) 163-181.
39. L.D. Faddeev, Les-Houches lectures 1995, hep-th/9605187.