Progress on Ultraviolet Finiteness of Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

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Invited lecture at International School of Subnuclear Physics, 46th Course, Erice Sicily, August 29-September 7, 2008. 20 page

Scientific paper

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 level and improved behavior of tree-level amplitudes under large complex deformations of momenta.

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