Dressing bulk fields in AdS
arXiv:2008.01198 · doi:10.1007/JHEP10(2020)189
Abstract
We study a set of CFT operators suitable for reconstructing a charged bulk scalar field in AdS (dual to an operator of dimension in the CFT) in the presence of a conserved spin- current in the CFT. One has to sum a tower of smeared non-primary scalars , where are primaries with twist and spin built from 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 this procedure captures the dressing of the bulk scalar field by a radial generalized Wilson line.
arXiv commentLaTeX, one figure, 28 pages
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