Entanglement Entropy for Probe Branes

Abstract

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.

31 pages

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• Generalized gravitational entropy of probe branes: flavor entanglement holographically
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• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Transport properties of spacetime-filling branes
• Supersymmetric D3/D5 for massive defects on curved space
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