84 citations · 521 across the 32 of their papers we have counts for
4 papers · 2 filters
From Orbital Varieties to Alternating Sign Matrices
P. Di Francesco, P. Zinn-Justin
We study a one-parameter family of vector-valued polynomials associated to each simple Lie algebra. When this parameter equals -1 one recovers Joseph polynomials, whereas at $q…
Boundary qKZ equation and generalized Razumov-Stroganov sum rules for open IRF models
P. Di Francesco
We find higher rank generalizations of the Razumov--Stroganov sum rules at for models with open boundaries, by constructing polynomial solutions of l…
Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials
P. Di Francesco, P. Zinn-Justin
We prove higher rank analogues of the Razumov--Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components…
Inhomogeneous loop models with open boundaries
P. Di Francesco
We consider the crossing and non-crossing O(1) dense loop models on a semi-infinite strip, with inhomogeneities (spectral parameters) that preserve the integrability. We compute th…