Statut | Confirmé |
Série | STR-LPT-ENS-HE |
Domaines | hep-th |
Date | Lundi 9 Avril 2018 |
Heure | 11:00 |
Institut | LPTENS |
Salle | LPTENS library |
Nom de l'orateur | Van Rees |
Prenom de l'orateur | Balt |
Addresse email de l'orateur | |
Institution de l'orateur | Durham University |
Titre | Crossing symmetry in alpha space |
Résumé | We initiate the study of the conformal bootstrap using Sturm-Liouville theory, specializing to four-point functions in one-dimensional CFTs. We do so by decomposing conformal correlators using a basis of eigenfunctions of the Casimir which are labeled by a complex number alpha. This leads to a systematic method for computing conformal block decompositions. Analyzing bootstrap equations in alpha space turns crossing symmetry into an eigenvalue problem for an integral operator K. The operator K is closely related to the Wilson transform, and some of its eigenfunctions can be found in closed form. |
Numéro de preprint arXiv | |
Commentaires | |
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