High Energy Particle Physics


New Seiberg-Witten Fields Maps Through Weyl Symmetrization and The Pure Geometric Extension of The Standard Model

Authors: N. Mebarki, F. Khelili, O. Benabbes

A unified description of a symmetrized and anti-symmetrized Moyal star product of the non-commutative infinitesimal gauge transformations is presented and the corresponding Seiberg-Witten maps are derived. Moreover, the noncommutative covariant derivative, field strenght tensor as well as gauge transformations are shown to be consistently constructed not on the enveloping but on the Lie and/or Poisson algebra. As an application, a pure geometric extension of the standard model is shown explicitly.

Comments: 20 pages, Published in EJTP No22 (2009)5-28

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Submission history

[v1] 12 Mar 2010

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