Motivated by extended black hole thermodynamics, we generalize the Rnyi entropy of charged holographic conformal field theories (CFTs) in d-dimensions. Specifically, following [1], we extend the quench description of the Rnyi 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 Rnyi 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 Rnyi entropy is given. In particular, in d = 2, where the bulk geometry becomes the charged Baados, Teitelboim, Zanelli black hole, we write down the extended charged Rnyi entropy in terms of the twist operators of the charged field theory. An area law prescription for the extended Rnyi entropy is formulated. We comment on several avenues for future work, including how global charge conservation relates to black hole super-entropicity.

受扩展黑洞热力学的启发，我们在d维中概括了带电全息共形场理论 (CFT) 的 Rnyi 熵。具体来说，在 [1] 之后，我们通过包括带电双曲线切片反德西特黑洞的压力变化来扩展全局带电全息 CFT 的 Rnyi 熵的猝灭描述。我们提供了对新型带电 Rnyi 熵的详尽分析，我们发现控制黑洞压力的参数与其电荷之间存在有趣的相互作用。给出了这个扩展带电 Rnyi 熵的场论解释。特别地，在d= 2，其中体几何变成带电的 Baados、Teitelboim、Zanelli 黑洞，我们根据带电场理论的扭曲算子写下扩展的带电 Rnyi 熵。制定了扩展 Rnyi 熵的面积定律处方。我们评论了未来工作的几个途径，包括全球电荷守恒与黑洞超熵的关系。