Bulk-boundary dictionary for a non local bulk field
Nirmalya Kajuri, Gaurav Narain
TL;DR
This paper constructs a bulk-boundary dictionary for a non-local bulk field in AdS/CFT, linking the non-locality scale to the conformal dimension of dual CFT operators, expanding the scope of holographic correspondence.
Contribution
It demonstrates the existence of a bulk-boundary dictionary for a specific non-local bulk field, relating non-locality scale to CFT operator dimensions.
Findings
A bulk-boundary dictionary for a non-local bulk field is established.
The non-locality scale in the bulk correlates with the conformal dimension of the dual operator.
The work extends holographic duality to non-local theories.
Abstract
AdS/CFT correspondence gives us a bulk-boundary dictionary between CFT operators and local fields in the bulk. Can a bulk-boundary dictionary exist for a non local bulk field? In this paper we consider a particular non local theory and show that a bulk boundary dictionary relating it to CFT operators in the bulk can indeed be constructed. In this dictionary the scale of non locality of the bulk theory is related to the conformal dimension of the dual CFT operator.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Numerical Methods in Computational Mathematics · Gas Dynamics and Kinetic Theory