## Abstract

This paper studies in great detail a family of supersymmetric Wilson loop operators in = 4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S ^{3} in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS _{4} × S ^{2}. We then discuss loops restricted to S ^{2} and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

Original language | English (US) |
---|---|

Article number | 017 |

Journal | Journal of High Energy Physics |

Volume | 2008 |

Issue number | 5 |

DOIs | |

State | Published - May 1 2008 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

- AdS-CFT correspondence
- Field theories in lower dimensions
- Strong coupling expansion
- Supersymmetric gauge theory

## Fingerprint

Dive into the research topics of 'Supersymmetric Wilson loops on S^{3}'. Together they form a unique fingerprint.