Geometry associated with self-dual yang-mills and the chiral model approaches to self-dual gravity

Acta Physica Polonica B

Volumn 29, Issue 3-12, 1998, Pages 549-571

  Garcia Compean H ^a   Plebanski J F ^a   Przanowski, M ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

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EID: 0000401678     PISSN: 05874254     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (42)

1. I.A.B. Strachan, J. Geom. Pliys., to appear, hep-th/9604142.
2. R.S. Ward, Nucl. Phys. B236, 381 (1984); Philos. Trans. R. Soc. Lond. A315, 451 (1985).
3. L.J. Mason, G.A.J. Sparling, Phys. Lett. A137, 29 (1989).
4. S. Chakravarty, M.J. Ablowitz, P.A. Clarkson, Phys. Rev. Lett. 65, 1085 (1989).
5. L.J. Mason, E.T. Newmann, Commun. Math. Phys. 121, 659 (1989).
6. R.S. Ward, Class. Quantum Grav. 7 (1990) L217.
7. Q-Han Park, Int. J. Mod. Phys. A7, 1415 (1992).
8. I. Bakas, Self-Duality, Integrable Systems, W-Algebras and All That, in: Nonlinear fields: Classical Random, Semiclassical, eds. P.A. Garbaczewski and Z. Popowicz, World Scientific, Singapore 1991. [9] V. Husain, Phys. Rev. Lett. 72, 800 (1994); Classical Quantum Gravity 11, 927 (1994).
9. J.F. Plebański, M. Przanowski, H. García-Compeán, Acta Phys. Pol. B25, 1079 (1994).
10. E. Witten, J. Geom. Phys. 8, 327 (1992).
11. R.S. Ward, Phys. Lett. B 234, 81 (1990);
12. J. Geom. Phys. 8, 317 (1992).
13. I.A.B. Strachan, J. Math. Phys. 36, 3566 (1995), hep-th/9410048.
14. I.A.B. Strachan, Phys. Lett. B283, 63 (1992).
15. K. Takasaki, J. Geom. Phys. 14, 111 (1994).
16. K. Takasaki, J. Geom. Phys. 14, 332 (1994).
17. J.F. Plebariski, M. Przanowski, B. Rajca, J. Tosiek, Acta. Phys. Pol. B26, 889 (1995).
18. J.F. Plebariski, M. Przanowski, J. Tosiek, Acta Phys. Pol. B27.1961 (1996).
19. J.F. Plebariski, M. Przanowski, The Universal Covering of Heavenly Equations Via Weyl-Wigner-Moyal Formalism, in Gravitation, Electromagnetism and Geometrical Structures, for the 80th birthday of A. Lichnerowitz, Ed. G. Ferrarese, Pitagora Editrice Bologna (1996).
20. J.F. Plebański, M. Przanowski, Phys. Lett. A212, 22 (1996), hep-th/9605233.
21. J.F. Plebariski, M. Przanowski, H. García-Compeán, Mod. Phys. Lett. A11, 663 (1996), hep-th/9509092.
22. K. Uhlenbeck, J. Diff. Geom. 30, 1 (1989); R.S. Ward, Commun. Math. Phys. 123, 319 (1990).
23. H. García-Compeán, J.F. Plebariski, M.. Przanowski, Phys. Lett. A219, 249 (1996), hep-th/9512013.
24. B.V. Fedosov, J. Diff. Geom. 40, 213 (1994).
25. M. de Wilde, P.B.A. Le Comité, Lett. Math. Phys. 7, 487 (1983).
26. E. Gozzi, M. Reuter, Quantum-Deformed Geometry on Phase-Space, DESY 92-191 UTS-DFT-92-33.
27. M. Reuter, Non-Commutative Geometry on Quantum Phase-Space, DESY 95-112.
28. H. García-Compeán,T. Matos, Phys. Rev. D52, 4425 (1995), hep-th/9409035.
29. C.P. Boyer, J.D. Finley, J.F. Plebariski, in: General relativity and gravitation, Einstein memorial volume, Vol. 2, ed. A. Held, Plenum, New York 1980 pp. 241-281. [30] C.N. Yang, Phys. Rev. Lett. 38, 1377 (1977).
30. S.K. Donaldson, Proc. Land. Math. Soc. 50, 1 (1985).
31. V.P. Nair, J. SchifT, Nucl. Phys. B371, 329 (1992); Phys. Lett. B24G, 423 (1990).
32. H. Ooguri, C. Vafa, Mod. Phys. Lett. A5, 83 (1990);
33. Nucl. Phys. B361, 469 (1991);
34. Nucl. Phys. B3G7, 83 (1991); Nucl. Phys. B451, 121 (1995).
35. A. Losev, G. Moore, N. Nekrasov, S. Shatashvili, Nucl. Phys. (Proc. Suppl.) 46, 130 (1996).
36. C.P. Boyer, J.F. Plebański, J. Math. Phys. 18, 229 (1977).
37. M. Dunajski, J.L. Mason, "Heavenly Hierarchies and Curved Twistor Spaces", Twistor Newsletter, 41 (1996), August.
38. J.F. Plebański, H. Garcfa-Compean, Int. J. Mod. Phys. A10, 3371 (1995), hep-th/9405073.
39. Ö.P. Dayi, q-Deformed Star Products and Moyal Brackets, Preprint q-alg/9609023, MRC.PH.TH.-12/96.
40. E. Martinec, Geometrical Structures of M-Theory, Preprint, hep-th/9608017.
41. S.V. Ketov, From N - 2 Strings to F and M Theories, preprint, hep-th/9606142; "The Osp(32|l) Versus Osp(8|2) Supersymmetric M-brane Actions from Self-Dual (2,2) Strings, preprint, hep-th/9609004; Mixed (open/closed) N=(2,2) String Theory as an Integrable Deformation of Self-Duality, hep-th/9612170.
42. A. Jevicki, Matrix Models, Open Strings and Quantization of Membranes, hep-th/9607187.