Wilson loops in minimal surfaces

Technical Report · Tue Apr 27 04:00:00 EDT 1999

DOI:https://doi.org/10.2172/753038· OSTI ID:753038

Drukker, Nadav ^[1]; Gross, David J; Ooguri, Hirosi

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1. LBNL Library

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.

• Research Organization: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US) (US)
• Sponsoring Organization: USDOE Director, Office of Science. Office of High Energy and Nuclear Physics (US)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 753038
• Report Number(s): LBNL--43079; UCB-PTH-99/11; NSF-ITP-99-22; hep-th/9904191
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIMENSIONS
GAUGE INVARIANCE
QUANTUM FIELD THEORY
SUPERSYMMETRY
SYMMETRY
WILSON LOOP