Integrability and Conformal Symmetry in the BCS model

TL;DR

This paper explores the BCS superconductivity model through various advanced theoretical frameworks, including integrability, conformal symmetry, and topological field theories, to deepen understanding of its solvable structure.

Contribution

It introduces a unified perspective connecting Richardson's ansatz, conformal field theory, and Chern-Simons theory to the BCS model, highlighting its integrable and conformal properties.

Findings

Establishes links between BCS Hamiltonian and conformal field theory

Demonstrates integrability of the BCS model via vertex models

Connects BCS theory to Chern-Simons topological field theory

Abstract

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.