Divergences and boundary modes in N=8 supergravity

We reconsider the one loop divergence of N = 8 supergravity in four dimensions. We compute the finite effective potential of N = 8 anti-deSitter supergravity and interpret it as logarithmic running of the cosmological constant. We show that quantum inequivalence between fields that are classically dual is due to boundary modes in AdS(4). The boundary modes are important in global AdS(4) but not in thermal AdS(4) since these geometries have different Euler characteristic.