  We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter
spacetime contains the Virasoro algebra. We construct representations of the
Virasoro algebra realized in the Fock space of a massive scalar field in de
Sitter, built as excitations of the Euclidean vacuum state. These
representations are unitary, without highest weight, and have vanishing central
charge. They provide a prototype for a new class of conformal field theories
dual to de Sitter backgrounds in string theory. The mapping of operators in the
CFT to bulk quantities is described in detail. We comment on the extension to
dS_3/CFT_2.
