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

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

2003-09-25

arxiv.org/abs/math-ph/0309057v1

Physics

Mathematical Physics

Scientific paper

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 $2n=22$.

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