  We study gauge fields of arbitrary spin in de Sitter space. These include
Yang-Mills fields and gravitons, as well as the higher-spin fields of Vasiliev
theory. We focus on antipodally symmetric solutions to the field equations,
i.e. ones that live on "elliptic" de Sitter space dS_4/Z_2. For free fields, we
find spanning sets of such solutions, including boundary-to-bulk propagators.
We find that free solutions on dS_4/Z_2 can only have one of the two types of
boundary data at infinity, meaning that the boundary 2-point functions vanish.
In Vasiliev theory, this property persists order by order in the interaction,
i.e. the boundary n-point functions in dS_4/Z_2 all vanish. This implies that a
higher-spin dS/CFT based on the Lorentzian dS_4/Z_2 action is empty. For more
general interacting theories, such as ordinary gravity and Yang-Mills, we can
use the free-field result to define a well-posed perturbative initial value
problem in dS_4/Z_2.

High Energy Physics - Theory;General Relativity and Quantum Cosmology