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Wilson Loops as D3-Branes

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arxiv hep-th/0612022 v1 pith:GWHTHGG5 submitted 2006-12-04 hep-th

Wilson Loops as D3-Branes

classification hep-th
keywords wilsonhalf-bpsloopoperatorrepresentationd3-braned3-braneshep-th
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

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  1. Monodromy defects in Chern-Simons theory and Holography

    hep-th 2026-07 accept novelty 8.0

    Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold...

  2. Bubbling wormholes and matrix models

    hep-th 2025-12 unverdicted novelty 7.0

    Sums over representations of half-BPS Wilson loops in SYM matrix models are dual to bubbling wormhole geometries of multi-covered AdS5 x S5 with intersecting S4 boundaries.