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Title: Wilson loops in minimal surfaces

Abstract

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{sub 5} x S{sup 5}. The authors examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which the authors call BPS loops, whose expectation values are free from ultra-violet divergence. They formulate the loop equation for such loops. To the extent that they have checked, the minimal surface in AdS{sub 5} x S{sup 5} gives a solution of the equation. The authors also discuss the zig-zag symmetry of the loop operator. In the N = 4 gauge theory, they expect the zig-zag symmetry to hold when the loop does not couple the scalar fields in the supermultiplet. They will show how this is realized for the minimal surface.

Authors:
; ;
Publication Date:
Research Org.:
Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US) (US)
Sponsoring Org.:
USDOE Director, Office of Science. Office of High Energy and Nuclear Physics (US)
OSTI Identifier:
753038
Report Number(s):
LBNL-43079; UCB-PTH-99/11; NSF-ITP-99-22; hep-th/9904191
R&D Project: 417001; TRN: US0003741
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 27 Apr 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; WILSON LOOP; GAUGE INVARIANCE; SUPERSYMMETRY; DIMENSIONS; SYMMETRY; QUANTUM FIELD THEORY

Citation Formats

Drukker, Nadav, Gross, David J, and Ooguri, Hirosi. Wilson loops in minimal surfaces. United States: N. p., 1999. Web. doi:10.2172/753038.
Drukker, Nadav, Gross, David J, & Ooguri, Hirosi. Wilson loops in minimal surfaces. United States. doi:10.2172/753038.
Drukker, Nadav, Gross, David J, and Ooguri, Hirosi. Tue . "Wilson loops in minimal surfaces". United States. doi:10.2172/753038. https://www.osti.gov/servlets/purl/753038.
@article{osti_753038,
title = {Wilson loops in minimal surfaces},
author = {Drukker, Nadav and Gross, David J and Ooguri, Hirosi},
abstractNote = {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{sub 5} x S{sup 5}. The authors examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which the authors call BPS loops, whose expectation values are free from ultra-violet divergence. They formulate the loop equation for such loops. To the extent that they have checked, the minimal surface in AdS{sub 5} x S{sup 5} gives a solution of the equation. The authors also discuss the zig-zag symmetry of the loop operator. In the N = 4 gauge theory, they expect the zig-zag symmetry to hold when the loop does not couple the scalar fields in the supermultiplet. They will show how this is realized for the minimal surface.},
doi = {10.2172/753038},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1999},
month = {4}
}