Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-06
Acta Phys.Polon. B29 (1998) 549-571
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, phyzzx file, no figures, some coefficiets of Lagrangians were corrected
Scientific paper
A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical construction of deformation quantization the natural geometrical framework associated to the Moyal deformation of the six-dimensional version of the second heavenly equation and the Park-Husain heavenly equation. The Wess-Zumino-Witten-like Lagrangian of Self-dual gravity is re-examined within this context.
Garcia-Compean Hugo
Plebański Jerzy F.
Przanowski Maciej
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