Abstract
A model Hamiltonian for a many-electron system which unifies superconductivity, charge density waves, and spin density waves is analyzed. It is shown that the spectrum generating algebra for this system is su(8), and all 63 generators of this Lie algebra are identified. The seven symmetry operators that are broken in transition to the condensed state are identified, together with 56 order operators, whose expectations give the order parameters of the various phases present in the model. The discrete symmetry properties of these operators are tabulated. A chain of subalgebras of submodels with corresponding decoupled phases is constructed. Finally, how the finite temperature Green’s functions may be obtained and used to solve the problem of self-consistency of the order parameters in the model is indicated.
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