Costa, Miguel S.
Goncalves, Vasco
Penedones, João Miguel
Spinning AdS propagators
Journal Of High Energy Physics
1029-8479
10.1007/Jhep09(2014)064
9
064
47
We develop the embedding formalism to describe symmetric traceless tensors in Anti-de Sitter space. We use this formalism to construct the bulk-to-bulk propagator of massive spin J fields and check that it has the expected short distance and massless limits. We also find a split representation for the bulk-to-bulk propagator, by writing it as an integral over the boundary of the product of two bulk-to-boundary propagators. We exemplify the use of this representation with the computation of the conformal partial wave decomposition of Witten diagrams. In particular, we determine the Mellin amplitude associated to AdS graviton exchange between minimally coupled scalars of general dimension, including the regular part of the amplitude.
Higher Spin Gravity;
AdS-CFT Correspondence;
Springer
New York
2014