Constructing local bulk observables in interacting AdS/CFT
Daniel Kabat, Gilad Lifschytz, David A. Lowe
TL;DR
This paper develops a method to construct local bulk operators in interacting AdS/CFT by ensuring spacelike commutation, extending previous work to include interactions and relating it to bulk Feynman diagrams.
Contribution
It introduces a construction of bulk observables in interacting AdS/CFT that maintains locality and relates to bulk Feynman diagrams, advancing previous non-interacting models.
Findings
Bulk operators commute at spacelike separation
Construction incorporates interactions via large-N factorization
Diagrammatic relation to bulk Feynman diagrams
Abstract
Local operators in the bulk of AdS can be represented as smeared operators in the dual CFT. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work by taking interactions into account. Large-N factorization plays a key role in the construction. We show diagrammatically how this procedure is related to bulk Feynman diagrams.
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