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High Energy Physics - Theory

arXiv:2110.15359 (hep-th)
[Submitted on 28 Oct 2021 (v1), last revised 1 Dec 2021 (this version, v2)]

Title:Information Geometry and Holographic Correlators

Authors:Hardik Bohra, Ashish Kakkar, Allic Sivaramakrishnan
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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.
Comments: 18 pages, no figures; v2: typos fixed, transition amplitude discussion refined
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Phenomenology (hep-ph); Quantum Physics (quant-ph)
Cite as: arXiv:2110.15359 [hep-th]
  (or arXiv:2110.15359v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2110.15359
Related DOI: https://doi.org/10.1007/JHEP04%282022%29037

Submission history

From: Allic Sivaramakrishnan [view email]
[v1] Thu, 28 Oct 2021 17:59:20 UTC (22 KB)
[v2] Wed, 1 Dec 2021 04:15:38 UTC (26 KB)
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