The Geometry of Deformation Quantization and Self-Dual Gravity

1997/10/20 by Hugo García‐Compeán, Hugo Garcia-Compean, Garcia-Compean, Hugo +5
Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9710154

LaTeX, mprocl.sty, 3 pages, no figures, version to appear in the Eighth Marcel Grossmann Meeting

arxiv created 1997/10/20 · openalex publication_date 1997/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Deformation Quantisation of Gravity
• Moyal deformations, W_1+∞ and celestial holography
• Deformation principle and further geometrization of physics
• Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories
• Deformation principle as foundation of physical geometry and its application to space-time geometry