Wilson Loops as D3-Branes

By Joaquim Gomis, Filippo Passerini. 2006

210 citations recorded by the source corpus.

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-BPS Wilson loop operator into the N=4 SYM path integral in the desired representation.

View Paper: https://www.semanticscholar.org/paper/7ee9cb0b8ef8802486453fb6b30c14e6ed290c9f

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Citations in the corpus

• From Weak to Strong Coupling in ABJM Theory (2010, background): “2 Giant Wilson loops It has been argued in [33, 68, 34, 35] that a D-brane probe in AdS5 × S5 represents an insertion of a Wilson loop in the dual 4d N = 4 SYM with a large symmetric or antisymmetric representation (in the case of D3 branes and D5 branes, respectively).”
• Holographic Wilson loops (2006, background): “The flat space brane configuration that reproduces the D3k-brane solution in the near horizon limit has been discussed in [30].”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, background): “5 One may also consider the D3 and D5 branes dual to 1/2-BPS Wilson loops in higher-rank symmetric and antisymmetric representations [32,33,15,34]: these branes have AdS2 × S2 or AdS2 × S4 worldvolumes, and preserve the same OSp(4∗|4) symmetry as the fundamental string.”