Symmetry algebras of large-N matrix models for open strings

Nuclear Physics B

Volumn 529, Issue 3, 1998, Pages 656-688

  Lee, C W H ^a   Rajeev, S G ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

Current algebra; Gauge theories; Large N limit; Matrix models; Open strings; Quantum spin chains

Indexed keywords

EID: 0032487267     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00461-1     Document Type: Article

References (48)

1. [1] S.G. Rajeev and O.T. Turgut, J. Math. Phys. 37 (1996) 637.
2. [2] C.-W.H. Lee and S.G. Rajeev, Phys. Rev. Lett. 80 (1998) 2285.
3. [3] C.-W.H. Lee and S.G. Rajeev, hep-th/9806002, to be published in J. Math. Phys.
4. [4] S.G. Rajeev, Phys. Lett. B 209 (1988) 53; Proc. 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, Syracuse, 1989 (Syracuse University, Syracuse, NY1989) p. 78; Phys. Rev. D 42 (1990) 2779; D 44 (1991) 1836.
5. [4] S.G. Rajeev, Phys. Lett. B 209 (1988) 53; Proc. 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, Syracuse, 1989 (Syracuse University, Syracuse, NY1989) p. 78; Phys. Rev. D 42 (1990) 2779; D 44 (1991) 1836.
6. [4] S.G. Rajeev, Phys. Lett. B 209 (1988) 53; Proc. 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, Syracuse, 1989 (Syracuse University, Syracuse, NY1989) p. 78; Phys. Rev. D 42 (1990) 2779; D 44 (1991) 1836.
7. [4] S.G. Rajeev, Phys. Lett. B 209 (1988) 53; Proc. 11th Annual Montreal-Rochester-Syracuse-Toronto Meeting, Syracuse, 1989 (Syracuse University, Syracuse, NY1989) p. 78; Phys. Rev. D 42 (1990) 2779; D 44 (1991) 1836.
8. [5] G. Ferretti and S.G. Rajeev, Phys. Lett. B 244 (1990) 265; G. Ferretti, Phys. Lett. B 284 (1992) 325.
9. [5] G. Ferretti and S.G. Rajeev, Phys. Lett. B 244 (1990) 265; G. Ferretti, Phys. Lett. B 284 (1992) 325.
10. [6] G. Ferretti and S.G. Rajeev, New York 1991, Proc., Differential Geometric Methods in Theoretical Physics, vol. 2, p. 769.
11. [7] G. 't Hooft, Nucl. Phys. B 75 (1974) 461.
12. [8] E. Witten, Nucl. Phys. B 160 (1979) 57.
13. [9] S.J. Brodsky, H.-C. Pauli and S.S. Pinsky, Phys. Rep. 301 and the references therein.
14. [10] E. Witten, Commun. Math. Phys. 92 (1984) 455.
15. [11] A. Pressley and G. Segal, Loop Groups (Oxford Univ. Press, Oxford, 1988).
16. [12] J. Cuntz, Commun. Math. Phys. 57 (1977) 173.
17. [13] D.E. Evans, Publ. RIMS, Kyoto Univ. 14 (1980) 383.
18. [14] R. Gopakumar and D.J. Gross, Nucl. Phys. B 451 (1995) 379.
19. [15] O.T. Turgut, Ph.D. thesis (1996), unpublished.
20. [16] P. Goddard and D. Olive, Int. J. Mod. Phys. A 1 (1986) 303.
21. [17] U.H. Danielsson, G. Ferretti and B. Sundborg, Int. J. Mod. Phys. A 11 (1996) 5463; D. Kabat and P. Pouliot, Phys. Rev. Lett. 77 (1996) 1004.
22. [17] U.H. Danielsson, G. Ferretti and B. Sundborg, Int. J. Mod. Phys. A 11 (1996) 5463; D. Kabat and P. Pouliot, Phys. Rev. Lett. 77 (1996) 1004.
23. [18] T. Banks, W. Fischler, S.H. Shenkar and L. Susskind, Phys. Rev. D 55 (1997) 5112; T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
24. [18] T. Banks, W. Fischler, S.H. Shenkar and L. Susskind, Phys. Rev. D 55 (1997) 5112; T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
25. [18] T. Banks, W. Fischler, S.H. Shenkar and L. Susskind, Phys. Rev. D 55 (1997) 5112; T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072.
26. [19] R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, 1982).
27. [20] E.K. Sklyanin, J. Phys. A: Math. Gen. 21 (1988) 2375.
28. [21] C. Gómez, M. Ruiz-Altaba and G. Sierra, Quantum Groups in Two-dimensional Physics (Cambridge University Press, 1996) p.91.
29. [22] O. Bergman and C.B. Thorn, Phys. Rev. D 52 (1995) 5980; Phys. Rev. Lett. 76 (1996) 2214.
30. [22] O. Bergman and C.B. Thorn, Phys. Rev. D 52 (1995) 5980; Phys. Rev. Lett. 76 (1996) 2214.
31. [23] J. Polchinski, hep-th/9611050; W. Taylor IV, hep-th/9801182.
32. [23] J. Polchinski, hep-th/9611050; W. Taylor IV, hep-th/9801182.
33. [24] C.B. Thorn, Phys. Rev. D 20 (1979) 1435.
34. [25] S. Dalley and I.R. Klebanov, Phys. Rev. D 47 (1993) 2517.
35. [26] F. Antonuccio and S. Dalley, Phys. Lett. B 376 (1996) 154.
36. [27] G. 't Hooft, Nucl. Phys. B 72 (1974) 461.
37. [28] C.-W.H. Lee, Ph.D. thesis, in preparation.
38. [29] V.G. Kac, Infinite Dimensional Lie Algebras, third edition (Cambridge Univ. Press, Cambridge, 1990) p. 112.
39. ∞ is also described by, e.g., V.G. Kac and D.H. Peterson, in Lectures on the Infinite Wedge-Representation and the MKP Hierarchy, Système dynamiques non-linéaires: intégrabilité et comportement qualitatif, Sem. Math. Sup. 102 (Press Univ. Montréal, Montreal, Quebec, 1986).
40. [31] J. Mickelsson and S.G. Rajeev, Lett. Math. Phys. 21 (1991) 173.
41. [32] C.-W.H. Lee and S.G. Rajeev, to be published.
42. [33] I.R. Klebanov and L. Susskind, Nucl. Phys. B 309 (1988) 175.
43. [34] F.C. Alcaraz, M.N. Barber and M.T. Batchelor, Phys. Rev. Lett. 58 (1987) 771.
44. [35] T. Inami and H. Konno, J. Phys. A: Math. Gen. 27 (1994) L913.
45. [36] A.B. Zamolodchikov and V.A. Fateev, Sov. J. Nucl. Phys. 32 (1980) 298; M. Jimbo, Lett. Math. Phys. 10 (1985) 63; V. Pasquier and H. Saleur, Nucl. Phys. B 330 (1990) 523.
46. [36] A.B. Zamolodchikov and V.A. Fateev, Sov. J. Nucl. Phys. 32 (1980) 298; M. Jimbo, Lett. Math. Phys. 10 (1985) 63; V. Pasquier and H. Saleur, Nucl. Phys. B 330 (1990) 523.
47. [36] A.B. Zamolodchikov and V.A. Fateev, Sov. J. Nucl. Phys. 32 (1980) 298; M. Jimbo, Lett. Math. Phys. 10 (1985) 63; V. Pasquier and H. Saleur, Nucl. Phys. B 330 (1990) 523.
48. [37] L. Mezincescu and R.I. Nepomechie, Int. J. Mod. Phys. A 6 (1991) 5231.