English

The Geometry of Deformation Quantization and Self-Dual Gravity

High Energy Physics - Theory 2007-05-23 v1

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.

Cite

@article{arxiv.hep-th/9710154,
  title  = {The Geometry of Deformation Quantization and Self-Dual Gravity},
  author = {Hugo Garcia-Compean and Jerzy F. Plebanski and Maciej Przanowski},
  journal= {arXiv preprint arXiv:hep-th/9710154},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:07:28.582Z