Wilson loops in minimal surfaces
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; R&D Project: 417001; TRN: US0003741
- Resource Relation:
- Other Information: PBD: 27 Apr 1999
- Country of Publication:
- United States
- Language:
- English
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