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Holographic entanglement entropy and the internal space · Around

2014

Holographic entanglement entropy and the internal space

Karch, Andreas, Uhlemann, Christoph F.

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We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT.

Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT.
This, however, is just one of many ways to split a given system into subsectors, and extremal surfaces in the internal space should similarly quantify entanglement between subsectors of the theory.
For the case of AdS$_5\times$S$^5$, their area was interpreted as entanglement entropy between U(n) and U(m) subsectors of U(n+m) N=4 SYM.

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