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arXiv · hep-th/0012230

Counterterms in Supergravity

Z. Bern·D. Dunbar·L. Dixon·B. Julia·M. Perelstien·J. Rozowsky·D. Seminara·M. Trigante
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Abstract

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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Z. Bern, D. Dunbar, L. Dixon, B. Julia, M. Perelstien, J. Rozowsky, D. Seminara, M. Trigante. 2000-12-23. Counterterms in Supergravity. https://arxiv.org/abs/hep-th/0012230

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