Statut  Confirmé 
Série  STRLPTENSHE 
Domaines  hepth 
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 4point 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 WilsonFisher 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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