Generating functionals of correlation functions of p-form currents in AdS/CFT correspondence

The generating functional of correlation functions of the currents corresponding to a general massless p-form potential is calculated in the AdS/CFT correspondence of Maldacena. For this we construct the boundary-to-bulk Greenʹs functions of p-form potentials. The proportional constant of the current-current correlation function, which is related to the central charge of the operator product expansion, is shown to be c=d−p2πd2Γ(d−p)Γ(d2−p). The result agrees with the known cases such as p=1 or 2.