A conjectured formula for Fully Packed Loop configurations in a triangle

2009/11/24 by Paul Zinn-Justin, P. Zinn-Justin, Zinn-Justin, P.
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematics and Applications #math-ph #math.CO #math.MP

paper · pdf · doi:10.48550/arxiv.0911.4617

arxiv created 2009/11/24 · openalex publication_date 2009/11/24 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a new conjecture involving Fully Packed Loop counting which relates recent observations of Thapper to formulae in the Temperley--Lieb model of loops, and how it implies the Razumov--Stroganov conjecture.

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