Holographic Non-Abelian Flavour Symmetry Breaking
arXiv:2304.09190 · doi:10.3390/universe9060289
Abstract
We investigate a holographic model for both spontaneous and explicit symmetry breaking of non-abelian flavour symmetries. This consists of a bottom-up model inspired by the top-down D3/D7 probe brane model that incorporates the running anomalous dimensions of the fields. We ensure that in the holographic bulk, the full non-abelian flavour symmetries for massless quarks are present. The quark masses are spontaneously generated field values in the bulk and there is a resultant bulk Higgs mechanism. We provide a numerical technique to find the mass eigenvalues for a system of coupled holographic fields. We test this approach using an analytic model of supersymmetric matter. We apply this approach to two-flavour QCD with both quark mass splitting and multi-trace bulk action terms that are expected to break to away from large . We also discuss three-flavour QCD with strange quark mass splitting and applications to more exotic symmetry breaking patterns of potential relevance for composite Higgs models.
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