Comments on the scalar propagator in AdS x S and the BMN plane wave
Abstract
We discuss the scalar propagator on generic AdSd+1 x Sd'+1 backgrounds. For the conformally flat situations and masses corresponding to Weyl invariant actions the propagator is powerlike in the sum of the chordal distances with respect to AdSd+1 and Sd'+1. In all other cases the propagator depends on both chordal distances separately. We discuss the KK mode summation to construct the propagator in brief. For AdS5 x S5 we relate our propagator to the expression in the BMN plane wave limit and find a geometric interpretation of the variables occurring in the known explicit construction on the plane wave.
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