Statut | Confirmé |
Série | RENC-THEO |
Domaines | hep-th |
Date | Jeudi 14 Décembre 2023 |
Heure | 11:45 |
Institut | IHP |
Salle | Amphithéatre Darboux |
Nom de l'orateur | Cavaglià |
Prenom de l'orateur | Andrea |
Addresse email de l'orateur | |
Institution de l'orateur | University of Turin |
Titre | Computing four-point functions with integrability, conformal bootstrap and parity symmetry |
Résumé | In theories like N =4 Super Yang Mills, we have two remarkable sets of tools at our disposal: integrability and the conformal bootstrap, which encode different information. The combination of these two approaches can lead to accurate bounds for some nontrivial 3-point functions in the planar limit, particularly in the setup of defect observables built on a supersymmetric Wilson line. However, while the precision is very good for the OPE coefficients of low-lying states, higher in the spectrum it drops rapidly, limiting the possibility to reconstruct correlation functions. I will present a new approach which allows to deduce rigorous bounds directly for a 4-point function, adapting appropriately the numerical bootstrap algorithms. I will show how, supplemented with different types of information from integrability, this method leads to a very precise determination of the correlator. I will also discuss the implications of a previously unnoticed parity symmetry in the defect CFT and future directions. |
Numéro de preprint arXiv | |
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