Supersymmetric D3/D7 for holographic flavors on curved space

TL;DR

This paper introduces new supersymmetric D3/D7 brane configurations that holographically model N=4 SYM with massive N=2 flavors on curved spaces, providing explicit embeddings and analyzing their phenomenology.

Contribution

It systematically derives and classifies supersymmetric D7-brane embeddings in curved backgrounds, expanding the holographic flavor model landscape.

Findings

Multiple supersymmetric embeddings found in AdS4-sliced backgrounds

Holographic renormalization performed for these configurations

Field-theoretic interpretations of the embeddings explored

Abstract

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 $\kappa$-symmetry condition for D7-brane embeddings into AdS$_4$-sliced AdS$_5\times$S$^5$, 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 S$^4$ and dS$_4$.