English

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

High Energy Physics - Theory 2022-04-13 v2

Abstract

We study Wilson loops in string theory realizations of AdS/BCFT and wedge holography. The field theories are based on 3d N=4\mathcal N=4 long quiver gauge theories engineered by D3, D5 and NS5 branes, and on BCFTs involving 4d N=4\mathcal N=4 SYM coupled to such 3d theories. The holographic duals have geometry AdS4×S2×S2AdS_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 AdS5×_5\timesS5^5, which describe surface defects with boundaries and interfaces in N=4\mathcal N=4 SYM.

Keywords

Cite

@article{arxiv.2112.14648,
  title  = {Mapping out the internal space in AdS/BCFT with Wilson loops},
  author = {Lorenzo Coccia and Christoph F. Uhlemann},
  journal= {arXiv preprint arXiv:2112.14648},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T08:34:53.933Z