Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 14 Mars 2024
Heure 10:00
Institut IHP
Salle 314
Nom de l'orateur Antunes
Prenom de l'orateur António
Addresse email de l'orateur
Institution de l'orateur DESY
Titre The conformal bootstrap reaches higher points
Résumé The conformal bootstrap is a robust tool for the non-perturbative study of conformal field theories (CFTs) making use unitarity and crossing of simple four-point correlation functions. However, not all observables are accessible in this setup and it is not clear whether a theory can be determined uniquely through these constraints. Higher-point correlation functions of simple operators contain information about an infinite number of four-point correlators with complicated operators, and can potentially address the aforementioned problems. In this talk, I will discuss recent progress in generalizing the bootstrap program to higher-point functions, with emphasis on a positive semi-definite numerical setup for the six- point crossing equation in one dimension. Despite the drastic simplifications with respect to higher dimensions, the problem retains its infinite nature, which we are able to address, obtaining non-trivial bounds on scaling dimensions and four-point functions at fixed kinematics.
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