Chern-Simons theory and BCS superconductivity

TL;DR

This paper explores the connection between Chern-Simons theory and BCS superconductivity, deriving integrals of motion and solutions for the BCS model from Chern-Simons theory.

Contribution

It establishes a novel link between topological quantum field theory and superconductivity, deriving BCS solutions from Chern-Simons theory.

Findings

Derived BCS integrals of motion from Chern-Simons theory

Connected Wilson lines with Richardson's solution

Provided a new perspective on BCS eigenstates

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.