The SO(5) Theory as a Critical Dynamical Symmetry

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 5 eps figures, submitted to Phys. Rev. Lett

Scientific paper

We use generalized coherent states to analyze the SO(5) theory of high-temperature superconductivity and antiferromagnetism. We demonstrate that the SO(5) symmetry can be embedded in a larger algebra that allows it to be interpreted as a critical dynamical symmetry interpolating between antiferromagnetic and superconducting phases. This dynamical interpretation suggests that SO(5) defines a phase with the character of a spin-glass for a significant range of doping.

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