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arXiv · 2112.14648

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

Lorenzo Coccia·Christoph F. Uhlemann
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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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Lorenzo Coccia, Christoph F. Uhlemann. 2021-12-29. Mapping out the internal space in AdS/BCFT with Wilson loops. https://doi.org/10.1007/jhep03(2022)127

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