Abstract
We construct the holographic dual for \( \mathcal{N}=4 \) SYM on S4 and AdS4 coupled to massive \( \mathcal{N}=2 \) supersymmetric quenched flavor fields on a codimension-1 defect, which is S3 and AdS3, 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 S4 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.
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ArXiv ePrint: 1709.08650
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Robinson, B., Uhlemann, C.F. Supersymmetric D3/D5 for massive defects on curved space. J. High Energ. Phys. 2017, 143 (2017). https://doi.org/10.1007/JHEP12(2017)143
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DOI: https://doi.org/10.1007/JHEP12(2017)143