Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Mardi 27 Mars 2018
Heure 11:30
Institut LPTENS
Salle LPTENS library
Nom de l'orateur Kaviraj
Prenom de l'orateur Apratim
Addresse email de l'orateur
Institution de l'orateur LPTENS
Titre Reviewing the Bootstrap in Mellin Space
Résumé In the usual approach to Conformal Bootstrap a 4-point function is expanded in conformal blocks and crossing symmetry is imposed as a constraint. However one can use an alternative basis of expansion, which is crossing symmetric to begin with. This new basis turns out to comprise Witten diagrams, and the constraint equations come from consistency with the usual operator product expansion. The new equations give precise analytic results in various CFTs, including the Wilson-Fisher fixed point, large N vector model, or a CFT with large spin operators. I will show how to construct this formalism, and how the Mellin space is a natural candidate for this setup. Then I will illustrate how to get OPE data with this approach. I will conclude commenting on some inherent ambiguities of this basis which pose limitations to this approach, and finally how to fix them.
Numéro de preprint arXiv
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