Dispersoin of the πresonance
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We study the dispersion of the $π$ resonance in the superconducting state within the projected SO(5) model\cite{project}. Away from the the commensurate momentum, the propagation of the $π$ resonance creates phase slips in the superconducting order parameter. This frustration effect leads to a strong dressing of the $π$ resonance and a downwards dispersion away from the commensurate wave vector. Based on these results, we argue that the the commensurate resonance and incommensurate magnetic fluctuations in the cuprates are continuously connected.