Multiboundary wormholes and OPE statistics

Article Article scientifique Article Multiboundary wormholes and OPE statistics eng 2024-10-29 2024 author de Boer Jan Amsterdam U. author Liska Diego Amsterdam U. 428519 Département de physique théorique (FITEO) author Post Boris Amsterdam U. 10.1007/jhep10(2024)207 1029-8479 2405.13111 https://link.springer.com/10.1007/JHEP10(2024)207 We derive higher moments in the statistical distribution of OPE coefficients in holographic 2D CFTs, and show that such moments correspond to multiboundary Euclidean wormholes in pure 3D gravity. The nth cyclic non-Gaussian contraction of heavy-heavy-light OPE coefficients follows from crossing symmetry of the thermal n-point function. We derive universal expressions for the cubic and quartic moments and demonstrate that their scaling with the microcanonical entropy agrees with a generalization of the Eigenstate Thermalization Hypothesis. Motivated by this result, we conjecture that the full statistical ensemble of OPE data is fixed by three premises: typicality, crossing symmetry and modular invariance. Together, these properties give predictions for non-factorizing observables, such as the generalized spectral form factor. Using the Virasoro TQFT, we match these connected averages to new on-shell wormhole topologies with multiple boundary components. Lastly, we study and clarify examples where the statistics of heavy operators are not universal and depend on the light operator spectrum. We give a gravitational interpretation to these corrections in terms of Wilson loops winding around non-trivial cycles in the bulk. AdS-CFT Correspondence Models of Quantum Gravity Nonperturbative Effects Conformal Field Models in String Theory Symmetry: crossing Wormhole: Euclidean Field theory: conformal Invariance: modular Operator: spectrum Field theory: topological Operator product expansion Gravitation Statistical Statistics Spectral N-point function Holography Wilson loop Cyclic Scaling Thermal Entropy Non-Gaussianity Topology Form factor Virasoro Dewey 500.2 37 Département de physique théorique 133 false The journal of high energy physics 10 10 a5f5066d-91ce-4c4a-b90e-6cc7600737d3 Article (Published version) Public Article_scientifique_from_crossref.pdf 996786 application/pdf CC BY-4.0 a04c30a598ccc94c34ccded7dbb6ea932c0852030164f5c78b825e29e3a59118 openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Multiboundary wormholes and OPE statistics	The journal of high energy physics			2024	49	1,983

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Liska, Diego