Statut | Confirmé |
Série | RENC-THEO |
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. |
Numéro de preprint arXiv | |
Commentaires | |
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