E 7(7) symmetry and finiteness of $ \mathcal{N} = {8} $ supergravity

On the Finiteness of N = 8 Quantum Supergravity

We describe the constraints imposed on quantum maximal supergravity theories in perturbation theory by the two duality frameworks: S-duality in superstring theory and the AdS/CFT holographic correspondence between IIB superstring theory and N = 4 super Yang-Mills theory. E-mail address: [email protected]

On UV Finiteness of the Four Loop N=8 Supergravity

The 4-loop 4-point amplitude in N=8 d=4 supergravity is UV finite due to supersymmetry. Even better UV behavior of the 4-loop 4-point amplitude, analogous to that of N=4 SYM theory, has been recently established by computation in [1]. All n-point 4-loop amplitudes with n > 5 are finite on dimensional grounds. However, the situation with the 5-point amplitudes remained unclear. In this paper we ...

Cancellations beyond finiteness in N=8 supergravity at three loops.

We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions. Similar cancellations ...

E 10 Symmetry in One - dimensional Supergravity

Progress on Ultraviolet Finiteness of Supergravity

In this lecture we summarize recent calculations pointing to the possible ultraviolet finiteness of N = 8 supergravity in four dimensions. We outline the modern unitarity method, which enables multiloop calculations in this theory and allows us to exploit a remarkable relation between tree-level gravity and gauge-theory amplitudes. We also describe a link between observed cancellations at loop ...