Supersymmetric Wilson loops on S^3

dc.creatorDrukker, Nadav
dc.creatorGiombi, Simone
dc.creatorRicci, Riccardo
dc.creatorTrancanelli, Diego
dc.date2007-11-20
dc.date2008-04-27
dc.date.accessioned2026-07-07T11:38:51Z
dc.date.available2026-07-07T11:38:51Z
dc.descriptionThis paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS_4 x S^2. We then discuss loops restricted to S^2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.
dc.descriptionLatex, 84 pages, 4 figures. v2: minor changes, references added; to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0711.3226
dc.identifierhttp://arxiv.org/abs/0711.3226
dc.identifierJHEP0805:017,2008
dc.identifierdoi:10.1088/1126-6708/2008/05/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199711
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric Wilson loops on S^3
dc.typetext

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