Clash of symmetries on the brane

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dc.creatorDavidson, A.
dc.creatorToner, B. F.
dc.creatorVolkas, R. R.
dc.creatorWali, K. C.
dc.date2002-02-07
dc.date.accessioned2026-07-07T12:03:38Z
dc.date.available2026-07-07T12:03:38Z
dc.descriptionIf our 3+1-dimensional universe is a brane or domain wall embedded in a higher dimensional space, then a phenomenon we term the ``clash of symmetries'' provides a new method of breaking some continuous symmetries. A global $G_{\text{cts}} \otimes G_{\text{discrete}}$ symmetry is spontaneously broken to $H_{\text{cts}} \otimes H_{\text{discrete}}$, where the continuous subgroup $H_{\text{cts}}$ can be embedded in several different ways in the parent group $G_{\text{cts}}$, and $H_{\text{discrete}} < G_{\text{discrete}}$. A certain class of topological domain wall solutions connect two vacua that are invariant under {\it differently embedded} $H_{\text{cts}}$ subgroups. There is then enhanced symmetry breakdown to the intersection of these two subgroups on the domain wall. This is the ``clash''. In the brane limit, we obtain a configuration with $H_{\text{cts}}$ symmetries in the bulk but the smaller intersection symmetry on the brane itself. We illustrate this idea using a permutation symmetric three-Higgs-triplet toy model exploiting the distinct $I-$, $U-$ and $V-$spin U(2) subgroups of U(3). The three disconnected portions of the vacuum manifold can be treated symmetrically through the construction of a three-fold planar domain wall junction configuration, with our universe at the nexus. A possible connection with $E_6$ is discussed.
dc.description30 pages, 9 embedded figures
dc.identifierhttps://arxiv.org/abs/hep-th/0202042
dc.identifierhttp://arxiv.org/abs/hep-th/0202042
dc.identifierPhys.Rev.D65:125013,2002
dc.identifierdoi:10.1103/PhysRevD.65.125013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207852
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleClash of symmetries on the brane
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