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From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT

From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT
From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT
A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.
hep-th, gr-qc
1029-8479
Belin, Alexandre
178d0fa8-41ea-4db5-993e-acae42d14148
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Belin, Alexandre
178d0fa8-41ea-4db5-993e-acae42d14148
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Belin, Alexandre and Withers, Benjamin (2020) From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT. Journal of High Energy Physics, 185, [185]. (doi:10.1007/JHEP12(2020)185).

Record type: Article

Abstract

A common method to prepare states in AdS/CFT is to perform the Euclidean path integral with sources turned on for single-trace operators. These states can be interpreted as coherent states of the bulk quantum theory associated to Lorentzian initial data on a Cauchy slice. In this paper, we discuss the extent to which arbitrary initial data can be obtained in this way. We show that the initial data must be analytic and define the subset of it that can be prepared by imposing bulk regularity. Turning this around, we show that for generic analytic initial data the corresponding Euclidean section contains singularities coming from delta function sources in the bulk. We propose an interpretation of these singularities as non-perturbative objects in the microscopic theory.

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More information

Accepted/In Press date: 15 November 2020
Published date: 29 December 2020
Additional Information: 16 pages, 6 figures
Keywords: hep-th, gr-qc

Identifiers

Local EPrints ID: 455093
URI: http://eprints.soton.ac.uk/id/eprint/455093
ISSN: 1029-8479
PURE UUID: e7a98f33-e242-4859-8201-691d1fa3a2d2

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Date deposited: 08 Mar 2022 17:57
Last modified: 24 Jun 2022 21:37

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Author: Alexandre Belin

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