Conformal Symmetry Patterns in Baryon Spectra

Attention is drawn to the fact that the spectra of the baryons of the lightest flavors, the nucleon and the Δ, carry quantum numbers characteristic for an unitary representation of the conformal group. We show that the above phenomenon is well explained for baryons whose internal structure is dominated by a quark-diquark configuration that resides in a conformally compactified Minkowski space time, R1 x S3, and is described by means of the conformal scale equation there. The R1 x S3 space-time represents the boundary of the conformally compactified AdS5, on which one expects to encounter a conformal theory in accord with the gauge-gravity duality. Within this context, our model is congruent with AdS5/CFT4.