2010
DOI: 10.1103/physrevd.82.085020
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Yukawa terms in noncommutative SO(10) andE6GUTs

Abstract: We propose a method for constructing Yukawa terms for noncommutative SO(10) and E 6 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 θ µν , 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 θ µν .

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Cited by 13 publications
(8 citation statements)
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References 50 publications
(59 reference statements)
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“…This kind of interesting choices with gauge invariance are summarized in the top class in Table 1. The first two models were firstly discussed in [15][16][17], and referred to LND and QUE in [18,19], respectively. The representations of chiral supermultiplets …”
Section: Anomalymentioning
confidence: 99%
“…This kind of interesting choices with gauge invariance are summarized in the top class in Table 1. The first two models were firstly discussed in [15][16][17], and referred to LND and QUE in [18,19], respectively. The representations of chiral supermultiplets …”
Section: Anomalymentioning
confidence: 99%
“…[6] to construct the noncommutative Yukawa terms of the noncommutative standard model. Generally speaking, a noncommutative Yukawa term demands the existence of a hybrid SeibergWitten map for it to be expressible in terms of ordinary fields [19,47].…”
Section: Introductionmentioning
confidence: 99%
“…It can be shown -see ref [19]-that at first order in θ this is the most general BRS invariant Yukawatype term…”
Section: Pos(cncfg2010)026mentioning
confidence: 99%