Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 18 June 2018
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Sylvain Lacroix
Speaker's First Name
Speaker's Email Address
Speaker's Institution ENS Lyon
Title Affine Gaudin models and integrable field theories
Abstract In this seminar, we will discuss affine Gaudin models, which are integrable systems associated with Kac-Moody algebras of affine type. \par First, we will review how these models can be classically interpreted as integrable field theories in two dimensions. Conversely, we shall see that integrable sigma-models, which are typical examples of such theories, are realisations of classical affine Gaudin models. \par In a second part, we will discuss results and conjectures about quantum affine Gaudin models, concerning the construction of higher degree quantum Hamiltonians and their diagonalisation through the Bethe ansatz. Finally, we will explore the possible relation of these results with the ODE/IM correspondence, using the language of affine opers.
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