On the Counting of Fully Packed Loop Configurations. Some new conjectures

Jean-Bernard Zuber (1)

1 SPhT - Service de Physique Théorique

New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures are based on the analysis of the ground state of the Temperley-Lieb chain, for periodic boundary conditions and so-called ``identified connectivities\'\', up to size $2n=22$.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Combinatoire [math.CO]; Mécanique statistique [cond-mat.stat-mech]

Jean-Bernard Zuber. On the Counting of Fully Packed Loop Configurations. Some new conjectures. The Electronic Journal of Combinatorics, 2004, 114, pp.R13. ⟨hal-00007955⟩