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The composite Higgs model assumes that the Higgs field arises as thepseudo-Goldstone mode corresponding to a dynamical symmetry breaking in a newstrongly coupled sector. We present a soft-wall holographic model where suchsymmetry breaking occurs as a first order phase transition. In this case thebubble nucleation in the early universe becomes possible. To study thehomogeneous solutions in the models of this type we present the perturbationtheory approach. We estimate the gravitational wave spectrum produced duringthe nucleation phase and find it to be detectable with the plannedgravitational wave detectors.

Holographic model for the first order phase transition in the composite Higgs boson scenario