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.

34 pages, 1 figure

References in corpus (6)

• Sphere Partition Functions and the Zamolodchikov Metric
• Conformal field theories in anti-de Sitter space
• A Quantum Check of AdS/dCFT
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• Quark-antiquark potential in defect conformal field theory