Holographic Non-Abelian Flavour Symmetry Breaking

Johanna Erdmenger; Nick Evans; Yang Liu; Werner Porod

doi:10.3390/universe9060289

paper

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 $N = 2$ supersymmetric matter. We apply this approach to two-flavour QCD with both $u - d$ quark mass splitting and multi-trace bulk action terms that are expected to break $U (N_{f})_{V}$ to $S U (N_{f})_{V} \times U (1)_{V}$ away from large $N_{c}$ . 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.

Holographic Non-Abelian Flavour Symmetry Breaking

Abstract

References in corpus (15)

Cited by in corpus (3)