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

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 $Ad{S}_4\times S^2\times S^2$ 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.

arXiv comment57 pages, 15 figures; v2: minor edits, expanded references

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• Splitting interfaces in 4d $\mathcal{N}=4$ SYM
• Binary AdS black holes coupled to a bath in Type IIB
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Holographic BCFT Spectra from Brane Mergers
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• One-point functions for doubly-holographic BCFTs and backreacting defects
• Double holography in string theory