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An Exact Prediction of N=4 SUSYM Theory for String Theory

Nadav Drukker·David J. Gross
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Abstract

We propose that the expectation value of a circular BPS-Wilson loop in N=4 SUSYM can be calculated exactly, to all orders in a 1/N expansion and to all orders in g^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_s. We then compare this result with string theory. We find that the gauge theory calculation, for large g^2 N and to all orders in the 1/N^2 expansion does agree with the leading string theory calculation, to all orders in g_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.

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Nadav Drukker, David J. Gross. 2001-01-07. An Exact Prediction of N=4 SUSYM Theory for String Theory. https://doi.org/10.1063/1.1372177

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