A new multi-partite entanglement measure and its holographic dual
High Energy Physics - Theory
2023-01-12 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2206.09723,
title = {A new multi-partite entanglement measure and its holographic dual},
author = {Abhijit Gadde and Vineeth Krishna and Trakshu Sharma},
journal= {arXiv preprint arXiv:2206.09723},
year = {2023}
}
Comments
7 pages, 3 figures, added comments about the junction contributions and covariant generalization, added a discussion on analytic continuation