Quantum integrability and combinatorics: The ground state of the O(1) Loop Model

Tiago Fonseca

LPTHE, UPMC Paris, France

In 2001, Razumov and Stroganov published an article where they conjectured some combinatorial properties of the ground state of the O(1) Loop Model. Since then, a lot of work has been done, proving some of them, but also discovering some more properties. In this talk I will present an integral formula for the ground state's components and compute some examples.

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