Counterterms in Supergravity

Details Counterterms in Supergravity Counterterms in Supergravity

2000-12-23

arxiv.org/abs/hep-th/0012230v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented by D. Dunbar at "Non-perturbative Quantum effects 2000"

Scientific paper

We examine the ultraviolet behaviour of supergravity theories as a function of dimension and number of supercharges. We do so by the computation of one and two-loop physical on-shell four point amplitudes. For maximal supergravity, our computations prove the non-renomalisability of supergravity for $D \geq 6$ (including the maximal D=11 case) and give strong evidence for the existance of a five-loop counterterm in D=4. For type I supergravity our results indicate similar patterns. e shall also explore a remarkable relationship between gravity amplitudes and those of Yang-Mills theories. In many ways gravity calculations discover features which relate to the equivalent Yang-Mills features by a squaring proceedure.

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