Chern-Simons theory and BCS superconductivity

Asorey, Manuel; Falceto, Fernando; Sierra, German

doi:10.1016/S0550-3213(01)00614-9

Chern-Simons theory and BCS superconductivity

Oct, 2001

23 pages

Published in:

Nucl.Phys.B 622 (2002) 593-614

e-Print:

hep-th/0110266 [hep-th]

DOI:

10.1016/S0550-3213(01)00614-9

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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.

Note:

23 pages

11.15.-q
74.20.Fg
Chern-Simons term
superconductivity
Wilson loop
gauge field theory: SU(2)
Bethe ansatz
differential forms
Wess-Zumino-Witten model
integrability

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