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Statut |
Confirmé |
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Série |
SEM-LPTHE |
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Domaines |
cond-mat.stat-mech,hep-th,math-ph |
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Date |
Vendredi 9 Novembre 2018 |
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Heure |
11:00 |
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Institut |
LPTHE |
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Salle |
Bibliothèque |
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Nom de l'orateur |
Shimada |
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Prenom de l'orateur |
Hirohiko |
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Addresse email de l'orateur |
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Institution de l'orateur |
OIST Okinawa |
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Titre |
The hierarchy of the OPE coefficients and the low-lying operators in CFT |
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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 4-point function of the fundamental fields has infinitely many intermediate channels, which shows a tree-like 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 low-lying dimensions are constrained from the modular invariance. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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