BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time

Details BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time

2009-02-26

arxiv.org/abs/0902.4586v1

Phys.Rev.D79:106006,2009

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 7 figues, pdftex

Scientific paper

10.1103/PhysRevD.79.106006

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.

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