Aa. Bytseno et al., THE EFFECTIVE ACTION IN GAUGED SUPERGRAVITY ON HYPERBOLIC BACKGROUND AND INDUCED COSMOLOGICAL CONSTANT, Physics letters. Section B, 336(3-4), 1994, pp. 355-361
The one-loop effective action for 4-dimensional gauged supergravity wi
th negative cosmological constant, is investigated in space-times with
compact hyperbolic spatial section. The explicit expansion of the eff
ective action as a power series of the curvature on hyperbolic backgro
und is derived, making use of heat-kernel and zeta-regularization tech
niques. The induced cosmological and Newton constants are computed.