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arxiv: cond-mat/9905436 · v1 · submitted 1999-05-31 · ❄️ cond-mat.supr-con · cond-mat.str-el· nucl-th

The SO(5) Theory as a Critical Dynamical Symmetry

classification ❄️ cond-mat.supr-con cond-mat.str-elnucl-th
keywords dynamicalsymmetrycriticaltheoryalgebraallowsanalyzeantiferromagnetic
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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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