Article open access publication

Asymptotic One-Point Functions in Gauge-String Duality with Defects

Physical Review Letters, American Physical Society (APS), ISSN 1079-7114

Volume 119, 26, 2017

DOI:10.1103/physrevlett.119.261604, Dimensions: pub.1100299774, PMID: 29328703,



  1. (1) University of Copenhagen, grid.5254.6, KU






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 supersymmetric Yang-Mills 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 nonprotected 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 Berenstein-Maldacena-Nastase 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.


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Times Cited: 9

Field Citation Ratio (FCR): 11.43

Relative Citation ratio (RCR): 0.3

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Green, Accepted