Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity

Hugo Garcia-Compean; Jerzy F. Plebanski; Maciej Przanowski

Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity

High Energy Physics - Theory 2008-02-03 v3

Authors: 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 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.

Keywords

self-dual yang-mills moyal deformation chiral model self-dual gravity fedosov construction heavenly equation

Cite

@article{arxiv.hep-th/9702046,
  title  = {Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity},
  author = {Hugo Garcia-Compean and Jerzy F. Plebanski and Maciej Przanowski},
  journal= {arXiv preprint arXiv:hep-th/9702046},
  year   = {2008}
}

Comments

35 pages, phyzzx file, no figures, some coefficiets of Lagrangians were corrected

Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity

Abstract

Keywords

Cite

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