An SU(4) model of high-T superconductivity and antiferromagnetic order is p
resented. There are three dynamical symmetries: SO(4), associated with anti
ferromagnetic order, SU(2), associated with a D-wave pairing condensate, an
d SO(5), which plays the role of a critical dynamical symmetry that interpo
lates between antiferromagnetism and superconductivity.