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Dressing bulk fields in AdS3
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DOI：10.1007/JHEP10(2020)189.png)
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Abstract
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We study a set of CFT operators suitable for reconstructing a charged bulk scalar field phi in AdS 3 (dual to an operator O of dimension Delta in the CFT) in the presence of a conserved spin-n current in the CFT. One has to sum a tower of smeared non-primary scalars @m + J(m), where J(m) are primaries with twist Delta and spin m built from O and the current. The coefficients of these operators can be fixed by demanding that bulk correlators are well-defined: with a simple ansatz this requirement allows us to calculate bulk correlators directly from the CFT. They are built from specific polynomials of the kinematic invariants up to a freedom to make field redefinitions. To order 1=N this procedure captures the dressing of the bulk scalar field by a radial generalized Wilson line.
Keywords:
AdS-CFT Correspondence
Models of Quantum Gravity
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