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We study a holographic realisation of a composite Higgs model with anSO(6)/SO(5) symmetry breaking coset in which the top sector includescolour-neutral twin-partners that reduce the sensitivity of the Higgs mass tothe cut-off. Key to this neutral-naturalness mechanism is a Z2 symmetry thatleaves the Yukawa couplings to the Higgs boson invariant under an exchange ofthe top quark and twin top quark, but the symmetry structure of the model meansthat the Z2 symmetry is not present in the gauge boson couplings to the Higgs.Within the calculable framework of holography we construct and study the Higgspotential. We examine the relation between the Higgs mass, top-partner spectra,and the input parameters, finding that the presence of the twin-partners pushesthe masses of the lightest coloured top-partners up to approximately 1500 GeVwhile the decay constant remains at approximately 700 GeV. Interestingly, noadditional Z2 breaking terms are required to reproduce the observed masses ofthe electroweak gauge bosons, Higgs boson, and top quark.

Neutral-naturalness from a holographic SO(6)/SO(5) composite Higgs model