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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.
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