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Mapping out the internal space in AdS/BCFT with Wilson loops

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arxiv 2112.14648 v2 pith:O2KL7OR7 submitted 2021-12-29 hep-th

classification hep-th
keywords gaugeloopsmathcaltheoriestimeswilsonbcftbrane
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study Wilson loops in string theory realizations of AdS/BCFT and wedge holography. The field theories are based on 3d $\mathcal N=4$ long quiver gauge theories engineered by D3, D5 and NS5 branes, and on BCFTs involving 4d $\mathcal N=4$ SYM coupled to such 3d theories. The holographic duals have geometry $AdS_4\times S^2\times S^2$ warped over a strip. We identify the holographic representation of antisymmetric Wilson loops associated with individual 3d gauge nodes in terms of probe D5-branes. The expectation values obtained holographically are matched to supersymmetric localization computations. Our results yield an identification of regions in the internal space with individual 3d gauge nodes. Connecting to bottom-up braneworld models, this gives a concrete notion of which parts of the 10d solutions correspond to the end-of-the-world brane and which to the remaining bulk. We also construct supersymmetric Janus on the brane embeddings in AdS$_5\times$S$^5$, which describe surface defects with boundaries and interfaces in $\mathcal N=4$ SYM.

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  1. S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

    hep-th 2025-05 conditional novelty 7.0 of 10

    Boundary Wilson and 't Hooft line two-point functions in N=4 SYM match exactly under S-duality, with closed forms from Macdonald polynomials.

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