English

Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories

High Energy Physics - Theory 2007-05-23 v4

Abstract

It is shown that a Moyal deformation quantization of the SO(4k) Generalized Yang-Mills (GYM) theory action in D=4k dimensions, for spacetime independent field configurations, in the 0\hbar \to 0 limit, yields the Dirac-Nambu-Goto p-brane actions (obtained from the conformally invariant Dolan-Tchrakian p-brane actions after elimination of the auxiliary world volume metrics), in the orthonormal gauge, for p+1=4k world volumes embedded in a D=4k target spacetime background. The gauge fields/target spacetime coordinates correspondence is required but no large N limit is necessary. The equivalence between Moyal SDYM and Self Dual p-branes is proposed without choosing the orthonormal gauge.

Keywords

Cite

@article{arxiv.hep-th/9908115,
  title  = {Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories},
  author = {Carlos Castro},
  journal= {arXiv preprint arXiv:hep-th/9908115},
  year   = {2007}
}

Comments

8 pages, revised Tex file