A conjectured formula for Fully Packed Loop configurations in a triangle

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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• Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials
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Cited by in corpus (3)

• Proof of the Razumov-Stroganov conjecture
• Fully Packed Loop configurations in a Triangle and Littlewood-Richardson coefficients
• On some polynomials enumerating Fully Packed Loop configurations