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Entanglement Entropy for Probe Branes

Jul 19, 2013

31 pages

Published in:

JHEP 01 (2014) 180

Published: 2014

e-Print:

1307.5325 [hep-th]

DOI:

10.1007/JHEP01(2014)180

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

31 pages

Brane Dynamics in Gauge Theories
Gauge-gravity correspondence
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
entropy: entanglement
space: internal
membrane model
back reaction
sphere
holography

References(65)

Figures(0)

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