The U(1)-invariant clock model, and symmetries at root of unity
Eric Vernier
Mon, Dec. 17th 2018, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

In this talk I will introduce a quantum chain generalizing the Zn clock model by keeping nearest-neighbour 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.

Contact : Vincent PASQUIER


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