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

Abstract

The generating functional of correlation functions of the currents corresponding to general massless $p$-form potential is calculated in $AdS/CFT$ correspondence of Maldacena. For this we construct the boundary-to-bulk Green's 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 $c=(d-p\over 2π^{d/2}) (Γ(d-p) \over Γ({d\over 2}-p)).$ The result agrees with the known cases such as $p=1$ or 2.

arXiv comment1 + 12 pages(LaTeX). Ward identity problem clearfied with enlarged references