  Motivated by extended black hole thermodynamics, we generalize the R\'enyi
entropy of charged holographic conformal field theories (CFTs) in
$d$-dimensions. Specifically, following (1807.09215), we extend the quench
description of the R\'enyi entropy of globally charged holographic CFTs by
including pressure variations of charged hyperbolically sliced anti de Sitter
black holes. We provide an exhaustive analysis of the new type of charged
R\'enyi entropy, where we find an interesting interplay between a parameter
controlling the pressure of the black hole and its charge. A field theoretic
interpretation of this extended charged R\'enyi entropy is given. In
particular, in $d=2$, where the bulk geometry becomes the charged Ba\~nados,
Teitelboim, Zanelli black hole, we write down the extended charged R\'enyi
entropy in terms of the twist operators of the charged field theory. An area
law prescription for the extended R\'enyi entropy is formulated. We comment on
several avenues for future work, including how global charge conservation
relates to black hole super-entropicity.
