Non-Commutative GUTs, Standard Model and C,P,T properties from Seiberg-Witten map

Physics – High Energy Physics – High Energy Physics - Theory

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9 pages. Presented at the Balkan Workshop 2003, Vrnjacka Banja, 29.8-2.9.2003 and at the 9th Adriatic Meeting, Dubrovnik, 4-14

Scientific paper

Noncommutative generalizations of Yang-Mills theories using Seiberg-Witten map are in general not unique. We study these ambiguities and see that SO(10) GUT, at first order in the noncommutativity parameter \theta, is unique and therefore is a truly unified theory, while SU(5) is not. We then present the noncommutative Standard Model compatible with SO(10) GUT. We next study the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of these noncommutative actions at all orders in \theta. This allows to compare the Standard Model discussed in [5] with the present GUT inspired one.

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