Supersymmetric Wilson loops on S**3.

By N. Drukker, S. Giombi, R. Ricci, Diego Trancanelli. 2007

219 citations recorded by the source corpus.

This paper studies in great detail a family of supersymmetric Wilson loop operators in = 4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S3 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 AdS4 ? S2. We then discuss loops restricted to S2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a5bca7f7e285a3e85ac7bed461c0f98d6edb5213

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In Nuclear and High Energy Physics

1. N. Drukker
2. R. Roiban
3. A. Tseytlin
4. S. Giombi
5. L. Alday
6. S. Frolov
7. Joaquim Gomis
8. J. Teschner

Citations in the corpus

• Integrable Wilson loops (2012, methodology): “Integrability in this calculation is most easily seen in the string theory dual, where at leading order the Wilson loop is calculated by a classical string solution [6, 13–16] and of course the string sigma-model in AdS5 × S5 is integrable [17].”
• Gauge theory loop operators and Liouville theory (2009, background): “Luckily this is the case for a pair of non-intersecting loops on S(3), as was shown for N = 4 SYM in [54, 55].”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, background): “ 2 sin ˝ 1 ˝ 3 2 sin ˝ 2 ˝ 4 2 : (6.5) In the case of the four-point function of S5 uctuations, it appears to be possible to compare our results to some localization prediction. In a series of papers [4,38{40,68] it was proposed that 20 correlation functions in a subsector of supersymmetric Wilson l”
• Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops (2007, unknown): “There are some open questions and immediate directions in which one can proceed: (1) One can consider more general supersymmetric Wilson loops like studied in [28, 37, 51] and try to prove the conjectural relations of those with matrix models or two-dimensional super Yang-Mills theory.”
• Generalized quark-antiquark potential at weak and strong coupling (2011, methodology): “The case of interest in [16] was when E = ±J , which turns up to imply φ = ±θ and the string configuration preserves eight supercharges [26].”