A refined Razumov-Stroganov conjecture II

Details A refined Razumov-Stroganov conjecture II A refined Razumov-Stroganov conjecture II

2004-09-22

arxiv.org/abs/cond-mat/0409576v1

J.Stat.Mech.0411:P11004,2004

Physics

Condensed Matter

Statistical Mechanics

21 pages, 10 figures (3 in text), uses lanlmac, hyperbasics and epsf macros

Scientific paper

10.1088/1742-5468/2004/11/P11004

We extend a previous conjecture [cond-mat/0407477] relating the Perron-Frobenius eigenvector of the monodromy matrix of the O(1) loop model to refined numbers of alternating sign matrices. By considering the O(1) loop model on a semi-infinite cylinder with dislocations, we obtain the generating function for alternating sign matrices with prescribed positions of 1's on their top and bottom rows. This seems to indicate a deep correspondence between observables in both models.

Affiliated with

Also associated with

No associations

Rating

A refined Razumov-Stroganov conjecture II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A refined Razumov-Stroganov conjecture II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A refined Razumov-Stroganov conjecture II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442361