Supersymmetric D3/D5 for massive defects on curved space

Abstract

We construct the holographic dual for $\mathcal{N}=4$ SYM on ${\mathrm{S}}^4$ and $\mathrm{Ad}{\mathrm{S}}_4$ coupled to massive $\mathcal{N}=2$ supersymmetric quenched flavor fields on a codimension-1 defect, which is ${\mathrm{S}}^3$ and $\mathrm{Ad}{\mathrm{S}}_3$, respectively. The holographic description is in terms of a D3/probe D5 brane system. We set up and reduce the BPS equations for D5-brane embeddings with arbitrary supersymmetric deformations and partly solve them at the non-linear level. The remaining equations are solved explicitly in a small-mass expansion. We compute the contribution of the defect fields to the partition function on S${}^4$ and compare to a field theory computation using supersymmetric localization, for which we set up the matrix model. Both computations agree, lending strong support to holographic probe brane constructions using D3/D5 configurations in general.

arXiv comment34 pages, 1 figure

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Cited by in corpus (13)

• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Holographic entanglement entropy from probe M-theory branes
• Precision Holography for $\mathcal{N}=2^{\ast }$ on $S^4$ from type IIB Supergravity
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Janus on the Brane
• 3d defects in 5d: RG flows and defect F-maximization
• Supersymmetric probes in warped $Ad{S}_6$
• Holographic correlators of semiclassical states in defect CFTs
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• One-point functions for doubly-holographic BCFTs and backreacting defects
• B-type anomaly coefficients for the D3-D7 domain wall
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory