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Supersymmetric Wilson loops on S^3

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arxiv 0711.3226 v2 pith:DNL2LLGQ submitted 2007-11-20 hep-th

Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli This is my paper · ORCID
classification hep-th
keywords loopssupersymmetricequationpreservestringsuperchargestheorywilson
verification ladder T0 review T1 audit T2 compute T3 formal

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This 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.

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Cited by 7 Pith papers

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    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

  7. Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper expresses connected correlators of multiply-wound Wilson loops in N=4 SYM through explicit matrix-trace formulas, including a new inverse relation verified numerically up to order eight.

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