Asymptotic one-point functions in AdS/dCFT

We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect version of N=4 SYM theory, dual to the D5-D3 probe-brane sys...

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Bibliographic Details
Published in:arXiv.org 2017-11
Main Authors: Buhl-Mortensen, Isak, de Leeuw, Marius, Ipsen, Asger C, Kristjansen, Charlotte, Wilhelm, Matthias
Format: Article
Language:English
Subjects:
Asymptotic properties
Operators (mathematics)
String theory
Online Access:Get full text
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Summary:We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect version of N=4 SYM theory, dual to the D5-D3 probe-brane system with flux, has a natural asymptotic generalization to higher loop orders. The asymptotic formula correctly encodes the information about the one-loop correction to the one-point functions of non-protected operators once dressed by a simple flux-dependent factor, as we demonstrate by an explicit computation involving a novel object denoted as an amputated matrix product state. Furthermore, when applied to the BMN vacuum state, the asymptotic formula gives a result for the one-point function which in a certain double-scaling limit agrees with that obtained in the dual string theory up to wrapping order.
ISSN:2331-8422
DOI:10.48550/arxiv.1704.07386