BPS Wilson loops in N=4 supersymmetric Yang-Mills theory: Examples on hyperbolic submanifolds of space-time

Journal Article · Fri May 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.106006· OSTI ID:21296393

Branding, Volker ^[1]; Drukker, Nadav ^[2]

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1. Institut fuer Mathematik, Universitaet Potsdam Am Neuen Palais 10, 14469 Potsdam (Germany)
2. Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin (Germany)

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{sub 3} and H{sub 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 1/2 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{sub 5}xS{sup 5} and in some specific examples the compact sphere is effectively replaced by a de Sitter space.

• OSTI ID: 21296393
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
DE SITTER SPACE
HYDROGEN
MINKOWSKI SPACE
SPACE-TIME
SUPERSYMMETRY
WILSON LOOP
YANG-MILLS THEORY