Chern-Simons theory and BCS superconductivity

Abstract

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.

23 pages

References in corpus (3)

• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• A Class of Exactly Solvable Pairing Models
• Integrable model for interacting electrons in metallic grains

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