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18 April 2024

» arxiv » hep-th/9702046

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Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity
Hugo Garcia-Compean ; Jerzy F. Plebanski ; Maciej Przanowski ;
Date:	6 Feb 1997
Journal:	Acta Phys.Polon. B29 (1998) 549-571
Subject:	hep-th
Affiliation:	Cinvestav-Fis) and Maciej Przanowski (University of Lodz
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 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.
Source:	arXiv, hep-th/9702046
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