Chern-Simons theory and BCS superconductivity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages

Scientific paper

10.1016/S0550-3213(01)00614-9

We study the relationship between the holomorphic unitary connection of
Chern-Simons theory with temporal Wilson lines and the Richardson's exact
solution of the reduced BCS Hamiltonian. We derive the integrals of motion of
the BCS model, their eigenvalues and eigenvectors as a limiting case of the
Chern-Simons theory.

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