AdS/CFT and black holes

Studying AdS/CFT correspondence, which is a concrete manifestation of the holographic duality. By considering different black hole backgrounds like Schwarzschild, BTZ and charged (Reissner¿Nordstrom), we calculate correlation functions between bulk and boundary of black holes by introducing scalar fields. Extending this, we introduced charged condensate in AdS black holes to study the effect of temperature on supercondcuctor using holographic principle.