Divergences and Boundary Modes in N=8 Supergravity

Abstract

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 find that quantum inequivalence between fields that are classically dual is due to boundary modes in AdS4. Some subtleties are traced to the difference between the Euler characteristic of global and thermal AdS4.

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