A lie algebra for closed strings, spin chains, and gauge theories

Journal of Mathematical Physics

Volumn 39, Issue 10, 1998, Pages 5199-5230

  Lee, C W H ^a   Rajeev, S G ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032348288     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532566     Document Type: Article

References (40)

1. S. G. Rajeev, Int. J. Mod. Phys. A 9, 5583 (1994).
2. S. G. Rajeev, Phys. Lett. B 209, 53 (1988); Syracuse 1989, Proceedings, 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, p. 78; Phys. Rev. D 42, 2779 (1990); 44, 1836 (1991); G. Ferretti and S. G. Rajeev. Phys. Lett. B 244, 265 (1990).
3. S. G. Rajeev, Phys. Lett. B 209, 53 (1988); Syracuse 1989, Proceedings, 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, p. 78; Phys. Rev. D 42, 2779 (1990); 44, 1836 (1991); G. Ferretti and S. G. Rajeev. Phys. Lett. B 244, 265 (1990).
4. S. G. Rajeev, Phys. Lett. B 209, 53 (1988); Syracuse 1989, Proceedings, 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, p. 78; Phys. Rev. D 42, 2779 (1990); 44, 1836 (1991); G. Ferretti and S. G. Rajeev. Phys. Lett. B 244, 265 (1990).
5. S. G. Rajeev, Phys. Lett. B 209, 53 (1988); Syracuse 1989, Proceedings, 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, p. 78; Phys. Rev. D 42, 2779 (1990); 44, 1836 (1991); G. Ferretti and S. G. Rajeev. Phys. Lett. B 244, 265 (1990).
6. S. G. Rajeev, Phys. Lett. B 209, 53 (1988); Syracuse 1989, Proceedings, 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, p. 78; Phys. Rev. D 42, 2779 (1990); 44, 1836 (1991); G. Ferretti and S. G. Rajeev. Phys. Lett. B 244, 265 (1990).
7. C. B. Thorn, Phys. Rev. D 20, 1435 (1979).
8. O. Bergman and C. B. Thorn, Phys. Rev. D 52, 5980 (1995); Phys. Rev. Lett. 76, 2214 (1995).
9. O. Bergman and C. B. Thorn, Phys. Rev. D 52, 5980 (1995); Phys. Rev. Lett. 76, 2214 (1995).
10. T. Banks, W. Fischler, S. H. Shenkar, and L. Susskind, Phys. Rev. D 55, 5112 (1997); T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
11. T. Banks, W. Fischler, S. H. Shenkar, and L. Susskind, Phys. Rev. D 55, 5112 (1997); T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
12. T. Banks, W. Fischler, S. H. Shenkar, and L. Susskind, Phys. Rev. D 55, 5112 (1997); T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
13. T. Eguchi and H. Kawai, Phys. Rev. Lett. 48, 1063 (1982).
14. G. 't Hooft, Nucl. Phys. B 72, 461 (1974); E. Witten, ibid. 160, 57 (1979).
15. G. 't Hooft, Nucl. Phys. B 72, 461 (1974); E. Witten, ibid. 160, 57 (1979).
16. S. G. Rajeev and O. T. Turgut, J. Math. Phys. 37, 637 (1996).
17. ∞ is also mentioned by, for example, V. G. Kac and D. H. Peterson, in Lectures on the Infinite Wedge-Representation and the MKP Hierarchy, Système dynamiques nonlińeaires; intégrabilité et comportement qualitatif, Sem. Math. Sup. 102 (Press Univ. Montréal, Montreal, Quebec, 1986).
18. ∞ is also mentioned by, for example, V. G. Kac and D. H. Peterson, in Lectures on the Infinite Wedge-Representation and the MKP Hierarchy, Système dynamiques nonlińeaires; intégrabilité et comportement qualitatif, Sem. Math. Sup. 102 (Press Univ. Montréal, Montreal, Quebec, 1986).
19. C.-W. H. Lee and S. G. Rajeev, Phys. Rev. Lett. 80, 2285 (1998).
20. C.-W. H. Lee and S. G. Rajeev, hep-th/9712090 to be published in Nucl. Phys. B.
21. J. E. Humphreys, Introduction to Lie Algebras And Representation Theory (Springer-Verlag, New York, 1972).
22. P. Goddard and D. Olive, Int. J. Mod. Phys. A 1, 303 (1986).
23. C.-W. H. Lee, Ph.D. thesis, in preparation.
24. C.-W. H. Lee and S. G. Rajeev, to be published.
25. S. Dalley and I. R. Klebanov, Phys. Rev. D 47, 2517 (1993).
26. F. Antonuccio and S. Dalley, Nucl. Phys. B 461, 275 (1996).
27. A. Hashimoto and I. R. Klebanov, Mod. Phys. Lett. A 10, 2639 (1995).
28. D. Kutasov, Nucl. Phys. B 414, 33 (1994).
29. P.-A. Bares, G. Blatter, and M. Ogata, Phys. Rev. B 44, 130 (1991).
30. C. Gómez, M. Ruiz-Altaba, and G. Sierra, Quantum Groups in Two-dimensional Physics (Cambridge U. P., Cambridge, 1996).
31. L. Onsager, Phys. Rev. 65, 117 (1944); E. Fradkin and L. Susskind, Phys. Rev. D 17, 2637 (1978).
32. L. Onsager, Phys. Rev. 65, 117 (1944); E. Fradkin and L. Susskind, Phys. Rev. D 17, 2637 (1978).
33. J. B. Kogut, Rev. Mod. Phys. 51, 659 (1979).
34. L. Dolan and M. Grady, Phys. Rev. D 25, 1587 (1982).
35. B. Davies, J. Math. Phys. 32, 2945 (1991).
36. A. Honecker, Ph.D. thesis, hep-th/9503104.
37. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).
38. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M. L. Yan, Phys. Lett. A 123, 219 (1987); H. Au-Yang, R. J. Baxter, and J. H. H. Perk, ibid. 128, 138 (1988); Ph. Christo and M. Henkel, Introduction to Conformed Invariance and its Applications to Critical Phenomena, Lecture Notes in Physics Mono. 16 (Springer-Verlag, New York, 1993).
39. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M. L. Yan, Phys. Lett. A 123, 219 (1987); H. Au-Yang, R. J. Baxter, and J. H. H. Perk, ibid. 128, 138 (1988); Ph. Christo and M. Henkel, Introduction to Conformed Invariance and its Applications to Critical Phenomena, Lecture Notes in Physics Mono. 16 (Springer-Verlag, New York, 1993).
40. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M. L. Yan, Phys. Lett. A 123, 219 (1987); H. Au-Yang, R. J. Baxter, and J. H. H. Perk, ibid. 128, 138 (1988); Ph. Christo and M. Henkel, Introduction to Conformed Invariance and its Applications to Critical Phenomena, Lecture Notes in Physics Mono. 16 (Springer-Verlag, New York, 1993).