The Geometry of Deformation Quantization and Self-Dual Gravity
Hugo Garcia-Compean, Jerzy F. Plebanski, Maciej Przanowski
Abstract
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 Self-dual gravity.
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