Séminaire du LPTMS: Paul Zinn-Justin


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Discrete holomorphicity and quantized affine algebras

Paul Zinn-Justin, LPTHE

This is joint work with I. Ikhlef, R. Weston and M. Wheeler. I will discuss the interplay between two properties of two-dimensional statistical models, namely integrability (or exact solvability) and discrete holomorphicity. After introducing these concepts, I will explain how the Bernard-Felder construction of nonlocal currents out of quantized affine algebras provides a link between them, relating the discrete holomorphicity equation with conservation of these nonlocal currents. I will discuss as an example the case of the Temperley–Lieb (dense) loop model.

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