# Wilson Loops as D3-Branes

@article{Gomis2006WilsonLA, title={Wilson Loops as D3-Branes}, author={Jaume Gomis and Filippo Passerini}, journal={arXiv: High Energy Physics - Theory}, year={2006} }

We prove that the half-BPS Wilson loop operator of N=4 SYM in a symmetric representation of the gauge group has a bulk gravitational description in terms of a single D3-brane in AdS_5xS^5, as argued in hep-th/0604007. We also show that a half-BPS Wilson loop operator in an arbitrary representation is described by the D3-brane configuration proposed in hep-th/0604007. This is demonstrated by explicitly integrating out the degrees of freedom on the D3-branes and showing that they insert a half…

## 173 Citations

### Holographic Wilson loops

- Mathematics
- 2006

We show that all half-BPS Wilson loop operators in = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes…

### On the D3-brane description of some 1/4 BPS Wilson loops

- Physics
- 2007

Recently it has been proposed that Wilson loops in high-dimensional representations in = 4 supersymmetric Yang-Mills theory (or multiply wrapped loops) are described by D-branes in AdS5 × S5, rather…

### M5-BRANES AND WILSON SURFACES

- Mathematics, Physics
- 2007

We investigate the M5-brane description of the Wilson surface operators in six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence. We consider the Wilson surface operators in…

### 1/N correction in the D3-brane description of a circular Wilson loop at strong coupling

- Mathematics
- 2014

We compute the one-loop correction to the probe D3-brane action in AdS5 x S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given essentially by the…

### Semi-classical open string corrections and symmetric Wilson loops

- Mathematics
- 2007

In the AdS/CFT correspondence, an AdS2 × S2 D3-brane with electric flux in AdS5 × S5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N = 4…

### Wilson loops in 3d QFT from D-branes in AdS4×CP3

- Physics
- 2009

We study the Wilson loops in three-dimensional QFT from the D-branes in the AdS4×CP3 geometry. We find explicit D-brane configurations in the bulk which correspond to both straight and circular…

### 1 / 4 BPS Wilson Loop in β-deformed Theories

- Mathematics
- 2008

We consider general BPS Wilson loop operators in the N = 1 β-deformed supersymmetric Yang-Mills theory and derive the boundary condition satisfied by the dual string worldsheet. The boundary…

### Vortex loop operators, M2-branes and holography

- Mathematics
- 2009

We construct vortex loop operators in the three-dimensional N = 6 super- symmetric Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. These disorder loop operators…

### Operator product expansion of Wilson surfaces from M5-branes

- Mathematics
- 2008

The operator product expansion (OPE) of the Wilson surface operators in six-dimensional (2, 0) superconformal field theory is studied from AdS/CFT correspondence in this paper. We compute the OPE…

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We show that all half-BPS Wilson loop operators in = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes…

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