What is the Geometry of EFTs?

par Timothy Cohen (CERN & IHES)

lundi 15 sept. 2025, 14:30 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

It is well known that the observables for some classes of EFTs (eg the non-linear sigma model) naturally can be cast in terms of geometric quantities that are defined on a field space manifold.  One of the main benefits of this geometric approach is that it makes the field redefinition invariance of on-shell amplitudes manifest.  However, the standard approach does not apply to general EFTs; additionally, the field space geometry picture breaks down when one performs field redefinitions that involve derivatives.  In this talk, I will present a proposal for how to extend the notion of field space geometry to general EFTs in such a way as to accommodate general field redefinitions.  I will introduce the framework we call “functional geometry,” and will argue that this approach lays the groundwork for many new developments towards understanding properties of EFTs that circumvents issues associated with field redefinition ambiguities.

 

Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_physique PRENOM NOM"
(indiquez vos propres prénom et nom) et laissez le corps du message vide.