Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Integrability and Conformal Symmetry in the BCS Model

Germán Sierra

Published Jan 1, 2002• 9 citations
Publisher
DOI
10.1007/978-94-010-0514-2_28

Related papers

Conformal field theory and the exact solution of the BCS Hamiltonian

Germán Sierra

arXiv:hep-th/9911078•Nuclear Physics B•Apr 1, 2000•55 citations

Fluctuation oscillations and symmetry breaking: The BCS-model

D. Goderis, André F. Verbeure, P. Vets

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Apr 1, 1991•17 citations

Integrability and Conformal Symmetry in the BCS model

G. Sierra

The exactly solvable BCS Hamiltonian of superconductivity is considered from several viewpoints: Richardson's ansatz, conformal field theory, integrable inhomogenous vertex models and Chern-Simons theory.

arXiv:hep-th/0111114•Nov 13, 2001•3 citations

BCS–BEC crossover in one-dimensional integrable model

Miki Wadati, Toshiaki Iida

Physics Letters A•Aug 8, 2006•13 citations

Integrability and symmetry of the XXZ model

Tetsuji Miwa

CRM proceedings & lecture notes•Oct 17, 2000•0 citations

Conformal Field Theory and the Exact Solution of the BCS Hamiltonian

Sierra, G

We propose a connection between conformal field theory (CFT) and the exact solution and integrability of the reduced BCS model of superconductivity. The relevant CFT is given by the $SU(2)_k$-WZW model in the singular limit when the level k goes to -2. This theory has to be perturbed by an operator proportional to the inverse of the BCS coupling constant. Using the free field realization of this perturbed Wess-Zumino-Witten model, we derive the exact Richardson's wave function and the integrals of motion of the reduced BCS model in the saddle point approximation. The construction is reminiscent of the CFT approach to the Fractional Quantum Hall effect.

•Jan 1, 2000•36 citations
We propose a connection between conformal field theory (CFT) and the exact solution and integrability of the reduced BCS model of superconductivity. The relevant CFT is given by the SU(2)kSU(2)_kSU(2)k​-WZW model in the singular limit when the level k goes to -2. This theory has to be perturbed by an operator proportional to the inverse of the BCS coupling constant. Using the free field realization of this perturbed Wess-Zumino-Witten model, we derive the exact Richardson's wave function and the integrals of motion of the reduced BCS model in the saddle point approximation. The construction is reminiscent of the CFT approach to the Fractional Quantum Hall effect.