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arxiv: hep-th/0402020 · v1 · submitted 2004-02-03 · ✦ hep-th

Comments on the scalar propagator in AdS x S and the BMN plane wave

classification ✦ hep-th
keywords propagatorplanewavechordaldiscussdistancesscalaractions
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We discuss the scalar propagator on generic AdS_{d+1} x S^{d'+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 AdS_{d+1} and S^{d'+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 AdS_5 x S^5 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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