Information Geometry and Holographic Correlators
arXiv:2110.15359 · doi:10.1007/JHEP04(2022)037
Abstract
We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory. We compute the metric of holographic four-point functions and include corrections generated by tree Witten diagrams in the bulk. In this setting, we translate properties of correlators into the language of information geometry. Cross terms in the information metric encode non-identity operators in the OPE. We find that the information metric is asymptotically AdS. Finally, we discuss an information metric for transition amplitudes.
arXiv comment18 pages, no figures; v2: typos fixed, transition amplitude discussion refined
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