Statut  Confirmé 
Série  SEMLPTHE 
Domaines  condmat.statmech,hepth,mathph 
Date  Vendredi 9 Novembre 2018 
Heure  11:00 
Institut  LPTHE 
Salle  Bibliothèque 
Nom de l'orateur  Shimada 
Prenom de l'orateur  Hirohiko 
Addresse email de l'orateur  
Institution de l'orateur  OIST Okinawa 
Titre  The hierarchy of the OPE coefficients and the lowlying operators in CFT 
Résumé  The continuous families of CFT with varying central charge has gained importance after the revival of the conformal bootstrap in d>2. Unlike the 2d rational CFTs, the 4point function of the fundamental fields has infinitely many intermediate channels, which shows a treelike pattern of the unitarity violation. The O(n) model for n<2 offers one nice example, where such properties are studied in detail. We discuss the basic examples in arXiv:1803.06938, where the analytic properties and exponential decays of the OPE coefficients are related to the symmetry of the hyperbolic geometry. We also use a special polynomial of n arising from the multiplicities in the torus partition function and see how the lowlying dimensions are constrained from the modular invariance. 
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