  We explore properties of the universal terms in the entanglement entropy and
logarithmic negativity in 4d CFTs, aiming to clarify the ways in which they
behave like the analogous entanglement measures in quantum mechanics. We show
that, unlike entanglement entropy in finite-dimensional systems, the sign of
the universal part of entanglement entropy is indeterminate. In particular, if
and only if the central charges obey $a>c$, the entanglement across certain
classes of entangling surfaces can become arbitrarily negative, depending on
the geometry and topology of the surface. The negative contribution is
proportional to the product of $a-c$ and the genus of the surface. Similarly,
we show that in $a>c$ theories, the logarithmic negativity does not always
exceed the entanglement entropy.
