Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech,hep-th,math-ph
Date Friday 9 November 2018
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Shimada
Speaker's First Name Hirohiko
Speaker's Email Address
Speaker's Institution OIST Okinawa
Title The hierarchy of the OPE coefficients and the low-lying operators in CFT
Abstract 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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