Toda fields of SO(3) hyper-Kahler metrics and free field realizations

International Journal of Modern Physics A

Volumn 12, Issue 14, 1997, Pages 2585-2611

  Bakas, Ioannis ^a,b,d   Sfetsos, Konstadinos ^c  

^a CERN   (Switzerland)

^b LAPTH   (France)

^c UTRECHT UNIVERSITY   (Netherlands)

^d UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001083607     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97001456     Document Type: Article

References (45)

1. G. Gibbons and S. Hawking, Commun. Math. Phys. 66, 291 (1979);
2. T. Eguchi, P. Gilkey and A. Hanson, Phys. Rep. 66, 213 (1980), and references therein.
3. R. Penrose, Gen. Relativ. Gravit. 7, 31 (1976).
4. M. Ko, M. Ludvigsen, E. T. Newman and K. Tod, Phys. Rep. 71, 51 (1981), and references therein.
5. L. Alvarez-Gaume and D. Freedman, Commun. Math. Phys. 80, 443 (1981);
6. N. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Commun. Math. Phys. 108, 535 (1987).
7. M. Atiyah and N. Hitchin, Phys. Lett. A107, 21 (1985);
8. The Geometry and Dynamics of Magnetic Monopoles (Princeton University Press, 1988);
9. G. Gibbons and N. Manton, Nucl. Phys. B274, 183 (1986).
10. N. Hitchin, Math. Proc. Camb. Phil. Soc. 85, 465 (1979);
11. P. Kronheimer, J. Diff. Geom. 29, 665, 685 (1989).
12. C. Boyer and J. Finley, J. Math. Phys. 23, 1126 (1982);
13. J. Gegenberg and A. Das, Gen. Relativ. Gravit. 16, 817 (1984).
14. G. Gibbons and P. Rubback, Commun. Math. Phys. 115, 267 (1988).
15. M. Saveliev, Commun. Math. Phys. 121, 283 (1989);
16. R. Kashaev, M. Saveliev, S. Savelieva and A. Vershik, in Ideas and Methods in Mathematical Analysis, volume in memory of R. Hoegh-Krohn (Cambridge University Press, 1992);
17. M. Saveliev, Theor. Math. Phys. 92, 1024 (1993).
18. I. Bakas, in Supermembranes and Physics in 2 + 1 Dimensions, eds. M. Duff, C. Pope and E. Sezgin (World Scientific, Singapore, 1990);
19. Commun. Math. Phys. 134, 487 (1990);
20. Q.-H. Park, Phys. Lett. B238, 287 (1990).
21. G. Gibbons and C. Pope, Commun. Math. Phys. 66, 267 (1979).
22. A. Leznov and M. Saveliev, Lett. Math. Phys. 3, 489 (1979);
23. Commun. Math. Phys. 74, 111 (1980);
24. P. Mansfield, Nucl. Phys. B208, 277 (1982).
25. J. Hoppe, Phys. Lett. B215, 706 (1988);
26. D. Fairlie and C. Zachos, Phys. Lett. B224, 101 (1989);
27. E. Floratos, Phys. Lett. B232, 467 (1989).
28. K. Sfetsos, Phys. Rev. D54, 1682 (1996).
29. D. Olivier, Gen. Relativ. Gravit. 23, 1349 (1991).
30. P. Byrd and M. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer-Verlag, 1954);
31. E. Whittaker and G. Watson, A Course of Modern Analysis (Cambridge University Press, 1969).
32. V. Belinskii, G. Gibbons, D. Page and C. Pope, Phys. Lett. B76, 433 (1978);
33. G. Gibbons, D. Olivier, P. Rubback and G. Valent, Nucl. Phys. B296, 679 (1988).
34. I. Bakas and K. Sfetsos, Phys. Lett. B349, 448 (1995).
35. M. Prasad, Phys. Lett. B83, 310 (1979).
36. M. Sakaguchi, Int. J. Mod. Phys. A11, 1279 (1996).
37. D. Olive, N. Turok and J. Underwood, Nucl. Phys. B401, 663 (1993);
38. Nucl. Phys. ibid. B409, [FS] 509 (1993).
39. M. Adams, T. Ratiu and R. Schmid, in Infinite-Dimensional Groups with Applications, ed. V. Kac (Springer-Verlag, 1985).
40. I. Ivanov and M. Rocek, "Supersymmetric σ-models, twistors, and the Atiyah-Hitchin metric," Stony Brook preprint ITP-SB-95-54, hep-th/9512075 (1995).
41. A. Dancer, Commun. Math. Phys. 158, 545 (1993);
42. "A family of hyper-Kahler manifolds," Cambridge preprint DAMTP 91-41.
43. N. Seiberg and E. Witten, "Gauge dynamics and compactification to three dimensions," hep-th/9607163.
44. A. Dancer, "A family of gravitational instantons," Cambridge preprint DAMTP 92-13.
45. D. Page, Phys. Lett. B100, 313 (1981).