Yukawa terms in noncommutative SO(10) and E6 GUTs

Abstract

We propose a method for constructing Yukawa terms for noncommutative SO(10) and E6 GUTs, when these GUTs are formulated within the enveloping-algebra formalism. The most general noncommutative Yukawa term that we propose contains, at first order in thetamunu, the most general BRS invariant Yukawa contribution whose only dimensionful parameter is the noncommutativity parameter. This noncommutative Yukawa interaction is thus renormalisable at first order in thetamunu.

14 pages, no figures

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• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Higgs Couplings in NonCommutative Standard Model
• NC GUTs: A Status Report