The holographic basis is a novel tool which allows for a quantitative description of elementary/composite mixing in holographic duals of warped models. We apply this tool to bulk fermions in a slice of ${\mathrm{AdS}}_5$ and determine the precise admixture of elementary source field and composite resonances forming the standard model fermions. In particular, for the phenomenologically important case of an IR localized right-handed top quark, we show that the massless eigenstate is approximately a $50/50$ elementary-composite admixture. We also translate, in a simple yet quantitative manner, several of the phenomenological successes enjoyed by warped models to the language of partial compositeness.

• Received 19 November 2007

DOI:https://doi.org/10.1103/PhysRevD.77.045002