The propagator for graviton modes in supergravity on ADS5 x S5

Abstract

The propagator for k ≥ 0 Kaluza-Klein modes of the graviton in supergravity (SUGRA) on AdS5 X S5 is calculated in part. This propagator could be useful in calculations of four-leg scattering amplitudes as a further test of the proposed holographic duality between SUGRA on AdSd and the conformal field theory (CFT) on the (d - 1)-dimensional boundary of AdS d. The propagator is a symmetric bitensor and thus can be written as a linear combination of five basis tensors. A system of equations for the five coefficient functions is obtained. It is shown that a combination of three of these functions is a certain hypergeometric function.U of I Onlydissertation/thesi