Reduced systems of (2, 2) pseudo-Euclidean noncommutative self-dual Yang-Mills theories

Journal of Physics A: Mathematical and General

Volumn 35, Issue 26, 2002, Pages 5489-5497

  Legare M ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037025180     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/26/310     Document Type: Article

References (43)

1. Seiberg N and Witten E 1999 J. High Energy Phys. JHEP09(1999)032
2. Lechtenfeld O, Popov A D and Spendig B 2001 Phys. Lett. B 507 317
3. Langmann E and Szabo R 2001 Phys. Rev. D 64 104019
4. Madore J, Schraml S, Schupp P and Wess J 2000 Eur. Phys. J. C 16 161
5. Douglas M R and Nekrasov N A 2002 Rev. Mod. Phys. 73 977
6. Lechtenfeld O and Popov A D 2001 Phys. Lett. B 523 178
7. Harvey J A, Kraus P and Larsen F 2000 J. High Energy Phys. JHEP12(2000)024
8. Gross D and Nekrasov N 2001 J. High Energy Phys. JHEP103(2001)044
9. Dimakis A and Müller-Hoissen F 2000 Int. J. Mod. Phys. B 14 2455
10. Dimakis A and Müller-Hoissen F 2000 A noncommutative version of the nonlinear Schrödinger equation Preprint hep-th/0007015
11. Dimakis A and Müller-Hoissen F 2000 Phys. Lett. A 278 139
12. Dimakis A and Müller-Hoissen F 2000 Lett. Math. Phys. 54 123
13. Dimakis A and Müller-Hoissen F 2001 J. Phys. A: Math. Gen. 34 2571
14. Kupershmidt B A 2000 KP or mKP: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems (Providence, RI: American Mthematical Society)
15. 2) SDYM equation Preprint hep-th/0107211
16. Etingof P, Gel'fand I and Retakh V 1997 Math. Res. Lett. 4 413
17. Etingof P, Gel'fand I and Retakh V 1997 NonAbelian integrable systems quasideterminants, and Marchenko lemma Preprint math.QA/9707017
18. Paniak L D 2000 Exact noncommutative KP and KdV multi-solitons Preprint hep-th/0105185
19. Nekrasov N and Schwarz A 1998 Commun. Math. Phys. 198 689
20. Kapustin A, Kuznetsov A and Orlov D 2001 Commun. Math. Phys. 221 385
21. Takasaki K 2001 J. Geom. Phys. 37 291
22. Jurcǒ B, Schraml S, Schupp P and Wess J 2000 Eur. Phys. J. C 17 521
23. Faddeev L D and Takhtajan L 1987 Hamiltonian Methods in the Theory of Solitons (Berlin: Springer)
24. LaChapelle J and Legaré M 1998 Lett. Math. Phys. 45 195
25. Lane Mac S 1995 Homology (New York: Springer)
26. Anderson I M and Fels M E 1997 Am. J. Math. 119 609
27. Dimakis A and Müller-Hoissen F 2000 J. Phys. A: Math. Gen. 33 957
28. Ivanova T A and Popov A D 1995 Theor. Math. Phys. 102 280
29. Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge: Cambridge University Press)
30. Manin Yu I 1988 Quantum Groups and Noncommutative Geometry (Montréal: University de Montréal, CRM)
31. Kassel C 1995 Quantum Groups (New York: Springer)
32. Moyal J 1949 Proc. Camb. Phil. Soc. 45 99
33. Wess J 1999 q-deformed Heisenberg algebras Preprint math-ph/9910013 Wess J 2000 Proc. 38 Internationale Universitätswochen fü kern- and Teilchenphysik (Lecture Notes in Physics vol 543) ed H Gausterer, H Grosse and L Pittner (Berlin: Springer)
34. Wess J 1999 q-deformed Heisenberg algebras Preprint math-ph/9910013 Wess J 2000 Proc. 38 Internationale Universitätswochen fü kern- and Teilchenphysik (Lecture Notes in Physics vol 543) ed H Gausterer, H Grosse and L Pittner (Berlin: Springer)
35. Olver P J 1986 Applications of Lie Groups to Differential Equations (New York: Springer)
36. Mason L J and Sparling G A J 1989 Phys. Lett. A 137 29
37. Bakas I and Depireux D A 1991 Mod. Phys. Lett. A 6 399
38. Miura R M, Gardner C S and Kruskal M D 1968 J. Math. Phys. 9 1204
39. Zhang B Y 1995 J. Funct. Anal. 129 293
40. Zhang B Y 1995 SIAM J. Math. Anal. 26 1488
41. Frenkel E 1996 Int. Math. Res. Not. 2 55
42. Adler M, Horozov E and van Moerbeke P 1998 Phys. Lett. A 242 139
43. Carroll R 2001 Discretization, Moyal, and integrability Preprint math.QA/0105227