  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.
