Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT

Details Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT

2003-02-13

arxiv.org/abs/hep-th/0302087v3

JHEP 0303 (2003) 057

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, references added, v3: typos fixed

Scientific paper

10.1088/1126-6708/2003/03/057

We extend the method of calculation of propagators in maximally symmetric spaces (Minkowski, dS, AdS and their Euclidean versions) in terms of intrinsic geometric objects to the case of massive spin 3/2 field. We obtain the propagator for arbitrary space-time dimension and mass in terms of Heun's function, which is a generalization of the hypergeometric function appearing in the case of other spins. As an application of this result we calculate the conformal dimension of the dual operator in the recently proposed dS/CFT correspondence both for spin 3/2 and for spin 1/2. We find that, in agreement with the expectation from analytic continuation from AdS, the conformal dimension of the dual operator is {\it always} complex (i.e. it is complex for every space-time dimension and value of the mass parameter). We comment on the implications of this result for fermions in dS/CFT.

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