On non-supersymmetric generalizations of the Wilson-Maldacena loops in N=4 SYM

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Title: On non-supersymmetric generalizations of the Wilson-Maldacena loops in N=4 SYM
Authors: Beccaria, M
Tseytlin, AA
Item Type: Journal Article
Abstract: Building on our previous work arXiv:1712.06874 we consider one-parameter Polchinski–Sully generalization of the Wilson–Maldacena (WM) loops in planar SYM theory. This breaks local supersymmetry of WM loop and leads to running of the deformation parameter ζ. At three-loop level, we compute the ladder diagram contribution to the expectation value of the circular loop which is dominant for large ζ. The limit fixed in which the expectation value is determined by the Gaussian adjoint scalar path integral might be exactly solvable despite the lack of global supersymmetry. We study similar generalization of the -BPS “latitude” WM loop which depends on two parameters (in addition to the 't Hooft coupling λ). One may also introduce another supersymmetry-breaking parameter – the winding number of the scalar coupling circle. We find the two-loop expression for the expectation value of the associated loop by combining the ladder diagram contribution with an indirect determination of the non-ladder contribution using 1d defect CFT perturbation theory.
Issue Date: 1-Sep-2018
Date of Acceptance: 20-Jul-2018
ISSN: 0550-3213
Publisher: Elsevier
Start Page: 466
End Page: 497
Journal / Book Title: Nuclear Physics B
Volume: 934
Copyright Statement: © 2018 The Authors. Published by Elsevier B.V. Thiss is an open access article under the CC BY license (http://creativecommons.orglicenses/by/4.0/).
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
0105 Mathematical Physics
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Nuclear & Particles Physics
Publication Status: Published
Online Publication Date: 2018-07-24
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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