An exact prediction of
By N. Drukker, D. Gross. 2000
467 citations recorded by the source corpus.
We propose that the expectation value of a circular BPS-Wilson loop in N=4 supersymmetric Yang--Mills can be calculated exactly, to all orders in a 1/N expansion and to all orders in g{sup 2}N. Using the AdS/CFT duality, this result yields a prediction of the value of the string amplitude with a circular boundary to all orders in {alpha}' and to all orders in g{sub s}. We then compare this result with string theory. We find that the gauge theory calculation, for large g{sup 2}N and to all orders in the 1/N{sup 2} expansion, does agree with the leading string theory calculation, to all orders in g{sub s} and to lowest order in {alpha}'. We also find a relation between the expectation value of any closed smooth Wilson loop and the loop related to it by an inversion that takes a point along the loop to infinity, and compare this result, again successfully, with string theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9f8f8ddf6adb1d74eca02b6dc7bb8439a8127f6e
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- The AdS/CFT correspondence (2014, background): “nd a bulk string, which we will revisit in x4. For simple enough cases one can compute hW(C)iexactly in the gauge theory, and conrm precise agreement with the bulk string worldsheet area calculation [50]. The above examples demonstrate that interesting eld theory observables can actually be obtained”