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Wilson Loops and Minimal Surfaces

Drukker, Nadav and Gross, David J. and Ooguri, Hirosi (1999) Wilson Loops and Minimal Surfaces. Physical Review D, 60 (12). Art. No. 125006. ISSN 2470-0010. doi:10.1103/PhysRevD.60.125006.

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The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which we call BPS loops, whose expectation values are free from ultra-violet divergence. We formulate the loop equation for such loops. To the extent that we have checked, the minimal surface in AdS_5 x S^5 gives a solution of the equation. We also discuss the zig-zag symmetry of the loop operator. In the N=4 gauge theory, we expect the zig-zag symmetry to hold when the loop does not couple the scalar fields in the supermultiplet. We will show how this is realized for the minimal surface.

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Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1999 American Physical Society. (Received 13 May 1999; published 15 November 1999) We thank Korkut Bardakci, Sunny Itzhaki, Juan Maldacena, Joe Polchinski, Bruno Zumino. N.D. thanks Theory Group of UC Berkeley and LBNL for their hospitality. H.O. thanks the Institute for Theoretical Physics at Santa Barbara, Department of Mathematics and Physics at University of Amsterdam, and Theory Group at CERN, for their hospitality and for providing excellent working environments. The work of H.O. was supported in part by the NSF grant PHY-95-14797 and the DOE grant DE-AC03-76SF00098. This work was supported in part by the NSF under grant No. PHY-94-07194.
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Department of Energy (DOE)DE-AC03-76SF00098
Issue or Number:12
Classification Code:PACS number~s!: 11.15.Tk, 11.25.2w
Record Number:CaltechAUTHORS:20161220-074236256
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72958
Deposited By: Tony Diaz
Deposited On:20 Dec 2016 15:51
Last Modified:11 Nov 2021 05:09

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