1,238 research outputs found

    Supersymmetric D3/D5 for massive defects on curved space

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    We construct the holographic dual for N=4\mathcal N=4 SYM on S4\rm S^4 and AdS4\rm AdS_4 coupled to massive N=2\mathcal N=2 supersymmetric quenched flavor fields on a codimension-1 defect, which is S3\rm S^3 and AdS3\rm AdS_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 S4^4 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.Comment: 34 pages, 1 figur

    Supersymmetric D3/D7 for holographic flavors on curved space

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    We derive a new class of supersymmetric D3/D7 brane configurations, which allow to holographically describe N=4 SYM coupled to massive N=2 flavor degrees of freedom on spaces of constant curvature. We systematically solve the κ\kappa-symmetry condition for D7-brane embeddings into AdS4_4-sliced AdS5×_5\timesS5^5, and find supersymmetric embeddings in a simple closed form. Up to a critical mass, these embeddings come in surprisingly diverse families, and we present a first study of their (holographic) phenomenology. We carry out the holographic renormalization, compute the one-point functions and attempt a field-theoretic interpretation of the different families. To complete the catalog of supersymmetric D3/D7 configurations, we construct analogous embeddings for flavored N=4 SYM on S4^4 and dS4_4.Comment: 37 pages, 9 figure
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