Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories

Details Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories

1999-08-17

arxiv.org/abs/hep-th/9908115v4

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, revised Tex file

Scientific paper

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 $\hbar \to 0$ 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.

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