ARBITRARY-SPIN EFFECTIVE POTENTIALS IN ANTI - DESITTER SPACETIME

The one-loop effective potentials and stress-energy tensors for fields of arbitrary spin in anti-de Sitter (AdS) spacetime are calculated using the zeta-function technique. The arbitrary-spin zeta function is computed exactly on the four-dimensional hyperbolic space H-4, which is the (noncompact) Euclidean section appropriate to AdS spacetime. The finite parts of the effective potentials are given explicitly in terms of integrals containing psi functions. Applications to AdS supergravity are pointed out.