Séminaire de Physique Théorique

The U(1)-invariant clock model, and symmetries at root of unity
Eric Vernier (Université d'Oxford, Royaume-Uni)
Thursday 13 December 2018 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
In this talk, I will introduce a quantum chain generalizing the Zn clock model by keeping nearest-neighbor interaction and self-duality, but further requiring U(1) invariance. This model is integrable and can be related to XXZ-type chains at their "roots of unity" points, which present a number of striking features including a rich structure of degeneracies. Such a correspondence allows to revisit these features in an interesting way, in particular, I will discuss the physics of the "exact complete strings" underlying degeneracies in the Bethe ansatz language, and, in close connection with the latter, the presence of an underlying Onsager symmetry algebra.

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