Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series RENC-THEO
Subjects hep-th
Date Thursday 21 October 2021
Time 10:00
Institute IHP
Seminar Room 314 and https://zoom.us/j/97507124810 with passcode 1234
Speaker's Last Name Belin
Speaker's First Name Alexandre
Speaker's Email Address
Speaker's Institution CERN
Title Randomness in the statistical distribution of OPE coefficients and Euclidean wormholes
Abstract The eigenstate thermalization hypothesis is one of the most universal features of chaotic quantum many-body systems, which claims that matrix elements of simple operators in high energy states has a universal structure which treats off- diagonal elements statistically. Along with the random-matrix like behaviour of energy eigenstates, it is one of the main smoking guns of quantum chaos. In this talk, I will introduce the OPE randomness hypothesis: a conjecture for the statistical distribution of OPE coefficients in chaotic conformal field theories. This hypothesis generalizes the ETH ansatz and treats OPE coefficients statistically, with a distribution given to leading order by a Gaussian distribution, with corrections exponentially suppressed in the entropy. I will give evidence for this conjecture, based on asymptotic formulas for OPE coefficients that can be derived thanks to crossing symmetry and for 2d CFTs, modular invariance. I will discuss the gravitational counterparts of these results and underline the importance of Euclidean wormholes.
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