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

✍ Scribed by H. Dorn; M. Salizzoni; C. Sieg

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 115 KB
• Volume: 52
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200410164

✦ Synopsis

Abstract

We discuss the scalar propagator on generic ADS~d+1~ × 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~ × 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.