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arxiv: 0902.3765 · v2 · submitted 2009-02-23 · ✦ hep-th · gr-qc· hep-ph

Progress on Ultraviolet Finiteness of Supergravity

classification ✦ hep-th gr-qchep-ph
keywords amplitudescalculationsfinitenesssupergravitytree-levelultravioletallowsbehavior
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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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