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

Journal Article · 21 March 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2022)127 · OSTI ID:1971087

Coccia, Lorenzo ^[1]; Uhlemann, Christoph F. ^[2]

---

1. Univ. di Milano-Bicocca, Milano (Italy); INFN, Milano (Italy)
2. Univ. of Michigan, Ann Arbor, MI (United States)

We study Wilson loops in string theory realizations of AdS/BCFT and wedge holography. The field theories are based on 3d N = 4 long quiver gauge theories engineered by D3, D5 and NS5 branes, and on BCFTs involving 4d N = 4 SYM coupled to such 3d theories. The holographic duals have geometry AdS₄ × S² × S² 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×S⁵, which describe surface defects with boundaries and interfaces in N = 4 SYM.

• Research Organization: Univ. of Michigan, Ann Arbor, MI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); INFN; National Science Foundation (NSF)
• Grant/Contract Number: SC0007859; 2017CC72MK003; PHY-1607611
• OSTI ID: 1971087
• Journal Information: Journal of High Energy Physics (Online), Vol. 2022, Issue 3; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English