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---
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title: Handling of non-fundamental representations
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permalink: /Handling_of_non-fundamental_representations/
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---
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# Handling of non-fundamental representations
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[Category:Model](/Category:Model "wikilink") In the handling of non-fundamental fields under a symmetry, SARAH distinguishes if the corresponding symmetry gets broken or not: for unbroken symmetries it is convenient to work with fields which transform as vector under the symmetry with the appropriate length. For instance, a **6** under *S**U*(3)<sub>*c*</sub> is taken to be
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In the handling of non-fundamental fields under a symmetry, SARAH distinguishes if the corresponding symmetry gets broken or not: for unbroken symmetries it is convenient to work with fields which transform as vector under the symmetry with the appropriate length. For instance, a 6 under SU(3)<sub>c</sub> is taken to be
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$\\phi_\\alpha \\hspace{1cm} \\alpha=1,2, \\dots 6$
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$`\phi_\alpha \hspace{1cm} \alpha=1,2, \dots 6`$
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I.e. it carries one charge index. In contrast, non-fundamental fields under a broken gauge symmetry are represented by tensor products of the fundamental representation. For instance, a **3** under *S**U*(2)<sub>*L*</sub> is taken to be
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$\\phi_{ab} \\hspace{1cm} a,b=1,2$
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$`\phi_{ab} \hspace{1cm} a,b=1,2`$
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Thus, the triplet can be given as usual as 2 × 2 matrix.
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For Abelian gauge groups one can not only define charges for superfields which are real numbers, but also variables can be used for that. All interactions are then expressed keeping these charges as free parameter.
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