Minimal Submanifolds asymptotic to AdS4xS2 in AdS5xS5

In this work, as an attempt in understanding the interplay between deformations of the external and internal spaces associated with the probe-brane embedding submanifold, we construct the zero-temperature phase diagram for the coupled phase between two two-dimensional defects stacked parallel in a four-dimensional ambient spacetime. Different UV parameters are turned on for different defects. We study the system in the quenched strong coupling limit, using holography with probe brane approximation, realized explicitly through the D3/D5 system. This coupled phase is holographic dual to the presence of spontaneous symmetry breaking of the individual ultraviolet flavor symmetries associated with the double heterostructure of the defect layers. We characterize this solution by its infrared geometric data, and present the numerical result showing a first-order phase transition between the asymmetrically coupled phase and the more mundane decoupled phase.Comment: 12 pages, 4 figure

Entanglement Entropy for Probe Branes

We give a prescription for calculating the entanglement entropy in holographic probe brane systems by systematically taking the leading order backreaction of the probe brane into account. We find a simple compact double integral formula, which is insensitive to many details of the backreaction, most notably the internal space or the non-metric fields sourced by the probe. We validate our method by comparing to exact results in solvable toy models. We also determine the entanglement entropies for a sphere and a strip in the top-down D3/D7 and D3/D5 system. For the sphere the entanglement entropy has also been obtained by other methods and we find perfect agreement.Comment: 31 page