Extending charged holographic Renyi entropy

Motivated by extended black hole thermodynamics, we generalize the Renyi entropy of charged holographic conformal field theories (CFTs) in $d$-dimensions. Specifically, following (1807.09215), we extend the quench description of the Renyi 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 Renyi 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 Renyi entropy is given. In particular, in $d=2$, where the bulk geometry becomes the charged Banados, Teitelboim, Zanelli black hole, we write down the extended charged Renyi entropy in terms of the twist operators of the charged field theory. An area law prescription for the extended Renyi entropy is formulated. We comment on several avenues for future work, including how global charge conservation relates to black hole super-entropicity.