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Yangian symmetry of smooth Wilson loops in N=4 super Yang-Mills theory
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2013 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 11, 081- p.Article in journal (Refereed) Published
Abstract [en]

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N = 4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2, 2 vertical bar 4)] built upon the manifest superconformal symmetry algebra of the theory. The existence of this hidden symmetry is demonstrated at the one-loop order in the weak coupling limit as well as at leading order in the strong coupling limit employing the classical integrability of the dual AdS(5) x S-5 string description. The hidden symmetry generators consist of a canonical non-local second order variational derivative piece acting on the superpath, along with a novel local path dependent contribution. We match the functional form of these Yangian symmetry generators at weak and strong coupling and find evidence for an interpolating function. Our findings represent the smooth counterpart to the Yangian invariance of scattering superamplitudes dual to light-like polygonal super Wilson loops in the N = 4 super Yang-Mills theory.

Place, publisher, year, edition, pages
2013. no 11, 081- p.
Keyword [en]
Wilson, 't Hooft and Polyakov loops, AdS-CFT Correspondence, Conformal and W Symmetry
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-136481DOI: 10.1007/JHEP11(2013)081ISI: 000326808700007ScopusID: 2-s2.0-84896358256OAI: diva2:676638
EU, FP7, Seventh Framework Programme, 317089

QC 20131206

Available from: 2013-12-06 Created: 2013-12-05 Last updated: 2013-12-06Bibliographically approved

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Zarembo, Konstantin
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Nordic Institute for Theoretical Physics NORDITA
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