Global causal propagator for the Klein-Gordon equation on a class of supersymmetric AdS backgrounds

Details Global causal propagator for the Klein-Gordon equation on a class of supersymmetric AdS backgrounds Global causal propagator for the Klein-Gordon equation on a class of supersymmetric AdS backgrounds

2010-01-13

arxiv.org/abs/1001.2200v2

Adv. Theor. Math. Phys. 14 (2010) 1183-1208

Physics

Mathematical Physics

18 pages, corrected typos

Scientific paper

We analyze the Cauchy problem for the Klein-Gordon equation on the type IIB supergravity backgrounds $AdS^5 \times Y^{p,q}$, where $Y^{p,q}$ is any of the Sasaki-Einstein 5-manifolds recently discovered by Gaunlett, Martelli, Sparks and Waldram (Adv. Theor. Math. Phys. 8 (2004) 711--734). Although these spaces are not globally hyperbolic, we prove that there exists a unique admissible propagator and derive an integral representation thereof using spectral-theoretic techniques.

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