Information geometry and holographic correlators

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...

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Bibliographic Details
Main Authors: Bohra, H. (Author), Kakkar, A. (Author), Sivaramakrishnan, A. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01287nam a2200181Ia 4500
001 10.1007-JHEP04-2022-037
008 220425s2022 CNT 000 0 und d
020 |a 10298479 (ISSN) 
245 1 0 |a Information geometry and holographic correlators 
260 0 |b Springer Science and Business Media Deutschland GmbH  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/JHEP04(2022)037 
520 3 |a 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. © 2022, The Author(s). 
650 0 4 |a AdS-CFT Correspondence 
650 0 4 |a Conformal Field Theory 
700 1 |a Bohra, H.  |e author 
700 1 |a Kakkar, A.  |e author 
700 1 |a Sivaramakrishnan, A.  |e author 
773 |t Journal of High Energy Physics