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2022

A new multi-partite entanglement measure and its holographic dual

Gadde, Abhijit, Krishna, Vineeth, Sharma, Trakshu

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In this letter we define a natural generalization of the von Neumann entropy to multiple parties that is symmetric with respect to all the parties.

We call this measure multi-entropy.
We show that for conformal field theories with holographic duals, the multi-entropy is computed by the area of an appropriate "soap-film" anchored on the boundary.
We conjecture the quantum version of this prescription that takes into account the sub-leading corrections in G_N.

A new multi-partite entanglement measure and its holographic dual · Around

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We would like to thank Geoff Penington to bring this paper to our attention

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Another length scale present in the problem is the AdS scale ℓ AdS \ell_{\rm AdS} , however it is irrelevant to this completely local computation

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