Divergences and Boundary Modes in N=8 Supergravity

Abstract

We reconsider the one loop divergence of $\mathcal{N}=8$ supergravity in four dimensions. We compute the finite effective potential of $\mathcal{N}=8$ 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 AdS${}_4$. Some subtleties are traced to the difference between the Euler characteristic of global and thermal AdS${}_4$.

17 pages

References in corpus (13)

• Summing Up All Genus Free Energy of ABJM Matrix Model
• Is N = 8 Supergravity Ultraviolet Finite?
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• 5 loops in 24/5 dimensions
• Higher Spin AdS${}_{d+1}$/CFT${}_d$ at One Loop
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Decoupling Supergravity from the Superstring
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• On a possibility of a UV finite N=8 supergravity

Cited by in corpus (10)

• A One-loop Test of Quantum Black Holes in Anti de Sitter Space
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Electromagnetic Duality and Entanglement Anomalies
• Non-Renormalization For Non-Supersymmetric Black Holes
• Non-topological logarithmic corrections in minimal gauged supergravity
• Partition Functions with spin in AdS_2 via Quasinormal Mode Methods
• A note on sphere free energy of $p$-form gauge theory and Hodge duality
• Black hole one-loop determinants in the large dimension limit