42 citations · 73 across the 4 of their papers we have counts for
4 papers
Proof of the combinatorial Kirillov-Reshetikhin conjecture
P. Di Francesco, R. Kedem
In this paper we give a direct proof of the equality of certain generating function associated with tensor product multiplicities of Kirillov-Reshetikhin modules for each simple Li…
Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics
P. Di Francesco, P. Zinn-Justin
We consider the level 1 solution of quantum Knizhnik-Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley--Lieb model of loops on a strip.…
Open boundary Quantum Knizhnik-Zamolodchikov equation and the weighted enumeration of Plane Partitions with symmetries
P. Di Francesco
We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open (reflecting) boundaries as a function of the quantum parameter and the $…
Multicritical continuous random trees
J. Bouttier, P. Di Francesco, E. Guitter
We introduce generalizations of Aldous' Brownian Continuous Random Tree as scaling limits for multicritical models of discrete trees. These discrete models involve trees with fine-…