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

Abstract

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.

arXiv comment20 pages, references added, v3: typos fixed

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• The dS/CFT Correspondence
• Black Hole Evaporation without Information Loss
• A note on inflation and transplanckian physics
• Conformal Vacua and Entropy in de Sitter Space
• Disturbing Implications of a Cosmological Constant
• Spinors and the AdS/CFT correspondence
• Branes in AdS and pp-wave spacetimes
• Is There Really a de Sitter/CFT Duality
• The boundary S-matrix and the AdS to CFT dictionary
• Initial Conditions for Inflation
• Interacting Quantum Field Theory in de Sitter Vacua
• Inflation, holography, and the choice of vacuum in de Sitter space
• Graviton and gauge boson propagators in AdS(d+1)
• Elliptic de Sitter Space: dS/Z_2
• Vacuum States and the S-Matrix in dS/CFT
• On the consistency of de Sitter vacua
• Stable de Sitter Vacua from N=2 Supergravity
• Inconsistencies of Massive Charged Gravitating Higher Spins
• Gauge Boson Exchange in $Ad{S}_{d+1}$
• de Sitter Vacua, Renormalization and Locality
• Exploring de Sitter Space and Holography
• Tall tales from de Sitter space I: Renormalization group flows
• Recurrent Nightmares?: Measurement Theory in de Sitter Space
• De Sitter Gravity and Liouville Theory
• Spinor Parallel Propagator and Green's Function in Maximally Symmetric Spaces
• No van Dam-Veltman-Zakharov Discontinuity for Supergravity in AdS Space
• The antisymmetric tensor propagator in AdS
• The propagator for a general form field in $Ad{S}_{d+1}$
• Propagators for p-forms in AdS_{2p+1} and correlation functions in the AdS_7/(2,0) CFT correspondence

Cited by in corpus (6)

• Solutions for the General, Confluent and Biconfluent Heun equations and their connection with Abel equations
• Supersymmetric dS/CFT
• Gravitino Propagator in anti de Sitter space
• Covariant Quantization of "Massive" Spin-3/2 Fields in the de Sitter Space
• On the complete analytic structure of the massive gravitino propagator in four-dimensional de Sitter space
• Spinor Green's functions via spherical means on products of space forms