Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS(2)/CFT1
File(s)Beccaria2019_Article_CorrelatorsOnNon-supersymmetri.pdf (907.86 KB)
Published version
Author(s)
Beccaria, Matteo
Giombi, Simone
Tseytlin, Arkady A
Type
Journal Article
Abstract
Correlators of local operators inserted on a straight or circular Wilson loop in a conformal gauge theory have the structure of a one-dimensional “defect” CFT. As was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena loop in N=4 SYM one can compute the leading strong-coupling contributions to 4-point correlators of the simplest “protected” operators by starting with the AdS5 × S5 string action expanded near the AdS2 minimal surface and evaluating the corresponding tree-level AdS2 Witten diagrams. Here we perform the analogous computations in the non-supersymmetric case of the standard Wilson loop with no coupling to the scalars. The corresponding non-supersymmetric “defect” CFT1 should have an unbroken SO(6) global symmetry. The elementary bosonic operators (6 SYM scalars and 3 components of the SYM field strength) are dual respectively to the S5 embedding coordinates and AdS5 coordinates transverse to the minimal surface ending on the line at the boundary. The SO(6) symmetry is preserved on the string side provided the 5-sphere coordinates satisfy Neumann boundary conditions (as opposed to Dirichlet in the supersymmetric case); this implies that one should integrate over the S5 expansion point. The massless S5 fluctuations then have logarithmic propagator, corresponding to the boundary scalar operator having dimension Δ=5λ√+… at strong coupling. The resulting functions of 1d cross-ratio appearing in the 4-point functions turn out to have a more complicated structure than in the supersymmetric case, involving polylog (Li3 and Li2) functions. We also discuss consistency with the operator product expansion which allows extracting the leading strong coupling corrections to the anomalous dimensions of the operators appearing in the intermediate channels.
Date Issued
2019-05-21
Date Acceptance
2019-04-30
Citation
Journal of High Energy Physics, 2019, 122 (5), pp.1-61
ISSN
1029-8479
Publisher
Springer
Start Page
1
End Page
61
Journal / Book Title
Journal of High Energy Physics
Volume
122
Issue
5
Copyright Statement
© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) (https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000468948900005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Conformal Field Theory
QUANTUM
VERTEX
LOOP
Publication Status
Published
Article Number
122
Date Publish Online
2019-05-21