An Update on Perturbative N=8 Supergravity
arXiv:1412.7117
Abstract
According to the recent pure spinor analysis of the UV divergences by Karlsson, there are no divergent 1PI structures beyond 6 loops in D=4 N=8 supergravity. In combination with the common expectation that the UV divergences do not appear at less than 7 loops, this may imply that the 4-point amplitude in D=4 N=8 supergravity is all-loop finite. This differs from the result of the previous studies of pure spinors, which suggested that there is a UV divergence at 7 loops in D=4. Therefore an independent investigation of the pure spinor formalism predictions is desirable, as well as continuation of explicit loop computations. In the meantime, we revisit here our earlier arguments on UV finiteness of N=8 supergravity based on the absence of the off-shell light-cone superspace counterterms, as well as on the E_{7(7)} current conservation. We believe that both arguments remain valid in view of the developments in this area during the last few years.
8 pages
References in corpus (22)
- What is the Simplest Quantum Field Theory?
- On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
- The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- Three-Loop Superfiniteness of N=8 Supergravity
- Pure Spinor Formalism as an N=2 Topological String
- Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- The Ultraviolet Properties of N=4 Supergravity at Four Loops
- E7(7) constraints on counterterms in N=8 supergravity
- Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
- A simple approach to counterterms in N=8 supergravity
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- R^4 counterterm and E7(7) symmetry in maximal supergravity
- E{7(7)} Symmetry and Finiteness of N=8 Supergravity
- Covariant procedures for perturbative non-linear deformation of duality-invariant theories
- N=8 Counterterms and E7(7) Current Conservation
- N=8 Supergravity 4-point Amplitudes
- N=8 Supergravity on the Light Cone
- New E77 invariants and amplitudes
- On a possibility of a UV finite N=8 supergravity
- Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring
- The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops
- Light-by-Light Scattering Effect in Light-Cone Supergraphs