Integrable superconductivity and Richardson equations

Littlewood-Richardson Coefficients and Integrable Tilings

We provide direct proofs of product and coproduct formulae for Schur functions where the coefficients (Littlewood–Richardson coefficients) are defined as counting puzzles. The product formula includes a second alphabet for the Schur functions, allowing in particular to recover formulae of [Molev–Sagan ’99] and [Knutson–Tao ’03] for factorial Schur functions. The method is based on the quantum i...

Integrable Richardson-Gaudin models in mesoscopic physics

Integrable Richardson-Gaudin models in mesoscopic physics

Integrable Richardson-Gaudin models in mesoscopic physics

Integrable Richardson-Gaudin models in mesoscopic physics