2020/06/30 by Alexandre Belin, Jan de Boer · 4 citations
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Gaussian #Mathematical analysis #Mathematical physics #Partition function (quantum field theory) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/ac1082
7 pages, 3 figures; v2, minor comments and references added, version as appearing in CQG
openalex publication_date 2021/07/01 · arxiv created 2021/07/02 · arxiv updated 2021/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract We propose an ansatz for OPE coefficients in chaotic conformal field theories which generalizes the eigenstate thermalization hypothesis and describes any OPE coefficient involving heavy operators as a random variable with a Gaussian distribution. In two dimensions this ansatz enables us to compute higher moments of the OPE coefficients and analyse two and four-point functions of OPE coefficients, which we relate to genus-2 partition functions and their squares. We compare the results of our ansatz to solutions of Einstein gravity in AdS 3 , including a Euclidean wormhole that connects two genus-2 surfaces. Our ansatz reproduces the non-perturbative correction of the wormhole, giving it a physical interpretation in terms of OPE statistics. We propose that calculations performed within the semi-classical low-energy gravitational theory are only sensitive to the random nature of OPE coefficients, which explains the apparent lack of factorization in products of partition functions.