Séminaire de Physique Théorique

Q-operators for rational spin chains
Rouven Frassek (Max Planck Institute for Mathematics, Bonn)
Thursday 07 March 2019 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
I plan to discuss how Q-operators for rational spin chains can be constructed in the framework of the quantum inverse scattering method. The presentation will include open and closed XXX type spin chains with compact and non-compact representations of sl(2) in the quantum space. Further I plan to elaborate on the generalisation to spin chains of higher rank and in particular u(2,2|4) which underlies N=4 super Yang-Mills theory at weak coupling. Finally I will discuss the classification of the oscillator type solutions to the Yang-Baxter equation that are relevant to build Q-operators and give an outlook.

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