BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
Feb, 2009
28 pages
Published in:
- Phys.Rev.D 79 (2009) 106006
e-Print:
- 0902.4586 [hep-th]
Report number:
- HU-EP-09-05
View in:
Citations per year
Abstract: (arXiv)
In this paper we present a family of supersymmetric Wilson loops of N=4 supersymmetric Yang-Mills theory in Minkowski space. Our examples focus on curves restricted to hyperbolic submanifolds, H_3 and H_2, of space-time. Generically they preserve two supercharges, but in special cases more, including a case which has not been discussed before, of the hyperbolic line, conformal to the straight line and circle, which is half-BPS. We discuss some general properties of these Wilson loops and their string duals and study special examples in more detail. Generically the string duals propagate on a complexification of AdS_5 x S^5 and in some specific examples the compact sphere is effectively replaced by a de-Sitter space.Note:
- 28 pages, 7 figues, pdftex
- 11.30.Ly
- 11.25.Tq
- 11.30.Pb
- duality: string
- Wilson loop: BPS
- gauge field theory: Yang-Mills
- space-time: Minkowski
- supersymmetry: 4
- charge: topological
- charge: fractional
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