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In this article we present a novel set of solutions of the probe brane systemconsisting of Nf-D5 probe branes embedded in the near-horizon geometrygenerated by Nc-D3 branes, with the D5 worldvolume U(1) gauge fields turned on.Our system is holographically dual to a supersymmetric defect field theory atfinite density in non-trivial vacua. We find that a large class of vacua turnsout to satisfy a no-force condition, even with supersymmetry explicitly brokenby the finite density; our solutions include configuration in which chargeseparates from the horizon and is instead carried by probe branes outside thehorizon. The free energy is lowered in this process. Whether this correspondsto a genuine instability of the finite-density probe brane system remains to beseen.

Novel Solutions of Finite-Density D3/D5 Probe Brane System and Their Implications for Stability