Drukker, Nadav and Gross, David J. (2001) An exact prediction of [script N] = 4 supersymmetric Yang–Mills theory for string theory. Journal of Mathematical Physics, 42 (7). pp. 28962914. ISSN 00222488. http://resolver.caltech.edu/CaltechAUTHORS:DRUjmp01

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Abstract
We propose that the expectation value of a circular BPSWilson loop in [script N] = 4 supersymmetric Yang–Mills can be calculated exactly, to all orders in a 1/N expansion and to all orders in g2N. 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[prime] and to all orders in gs. We then compare this result with string theory. We find that the gauge theory calculation, for large g2N and to all orders in the 1/N2 expansion, does agree with the leading string theory calculation, to all orders in gs and to lowest order in alpha[prime]. 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.
Item Type:  Article 

Additional Information:  ©2001 American Institute of Physics. (Received 2 January 2001; accepted 13 February 2001) We would like to thank Michael Freedman, Sunny Itzhaki, Joachim Rahmfeld, Arkady Tseytlin and Ed Witten for discussions, and Hirosi Ooguri for also pointing out some problems with the original manuscript. The work of N.D. was supported by the Department of Energy (DOE) Grant No. DEFG0384ER40168. The work of D.J.G. was supported by the National Science Foundation (NSF) under Grants No. PHY 9907949 and No. PHY 9722022. 
Subject Keywords:  string theory; supersymmetric field theory; YangMills theory 
Record Number:  CaltechAUTHORS:DRUjmp01 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:DRUjmp01 
Alternative URL:  http://dx.doi.org/10.1063/1.1372177 
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ID Code:  1320 
Collection:  CaltechAUTHORS 
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Deposited On:  10 Jan 2006 
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