Extended Holographic R\'{e}nyi Entropy and hyperbolic black hole with scalar hair

We study the extended thermodynamics of the hyperbolic black hole with scalarhair and obtain the extended holographic R\'{e}nyi entropy of holographicconformal field theories with scalar hair. We analyze the behaviors of theextended holographic R\'{e}nyi entropy in terms of holographic calculations.Moreover, we generalize the capacity of entanglement from the extendedR\'{e}nyi entropy and show that it maps to the heat capacity of the thermalconformal field theories on the hyperbolic space.