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

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arxiv hep-th/0010274 v2 pith:S2PL7MYS submitted 2000-10-30 hep-th

Nadav Drukker , David J. Gross This is my paper · ORCID
classification hep-th
keywords orderstheorystringloopresultvaluealphacalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 12 Pith papers

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