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.

57 pages, 15 figures; v2: minor edits, expanded references

References in corpus (6)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Wilson Loops of Anti-symmetric Representation and D5-branes
• T^σ_ρ(G) Theories and Their Hilbert Series
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory

Cited by in corpus (2)

• AdS/BCFT with Brane-Localized Scalar Field
• Holographic BCFT Spectra from Brane Mergers