SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars

SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars

We study SU(n) symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general SU(n) one finds the same U(1) generator mismatch that we noted earlier in sp...

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Main Author: Stephen L. Adler
Format: Article
Language:English
Published: Elsevier 2015-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315002592
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spelling doaj-360882ef724047d6863089b67e6d040f2020-11-24T22:01:22ZengElsevierPhysics Letters B0370-26932015-05-01744380384SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalarsStephen L. Adler0Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USAWe study SU(n) symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general SU(n) one finds the same U(1) generator mismatch that we noted earlier in special cases. We then compute the masses of the various scalar fields in the branching expansion, in terms of parameters of the general renormalizable potential for the antisymmetric tensor fields.http://www.sciencedirect.com/science/article/pii/S0370269315002592
collection DOAJ
language English
format Article
sources DOAJ
author Stephen L. Adler
spellingShingle Stephen L. Adler
SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
Physics Letters B
author_facet Stephen L. Adler
author_sort Stephen L. Adler
title SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_short SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_full SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_fullStr SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_full_unstemmed SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_sort su(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2015-05-01
description We study SU(n) symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general SU(n) one finds the same U(1) generator mismatch that we noted earlier in special cases. We then compute the masses of the various scalar fields in the branching expansion, in terms of parameters of the general renormalizable potential for the antisymmetric tensor fields.
url http://www.sciencedirect.com/science/article/pii/S0370269315002592
work_keys_str_mv AT stephenladler sunsymmetrybreakingbyrankthreeandranktwoantisymmetrictensorscalars
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