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An exact prediction of [script N] = 4 supersymmetric Yang–Mills theory for string theory

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. 2896-2914. ISSN 0022-2488. doi:10.1063/1.1372177.

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We propose that the expectation value of a circular BPS-Wilson 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.

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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. DE-FG03-84ER40168. The work of D.J.G. was supported by the National Science Foundation (NSF) under Grants No. PHY 99-07949 and No. PHY 97-22022.
Subject Keywords:string theory; supersymmetric field theory; Yang-Mills theory
Issue or Number:7
Record Number:CaltechAUTHORS:DRUjmp01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1320
Deposited By: Archive Administrator
Deposited On:10 Jan 2006
Last Modified:08 Nov 2021 19:09

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