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arXiv · 1506.03757

Renormalizability Properties of Supergravity

S. Deser·J. H. Kay·K. S. Stelle
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Abstract

The possible local counterterms to supergravity are investigated to all loop orders. Supersymmetry implies that (1) supergravity-matter coupling is one-loop nonrenormalizable, with a specific counterterm; (2) pure supergravity is renormalizable at both one and two loops; (3) it fails at three loops; (4) extended supergravity models may avoid the three-loop catastrophe, and have no dangerous local counterterms to any order. In that case, the nonleading divergences could be removed by field redefinitions, which would establish renormalizability for these systems.

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S. Deser, J. H. Kay, K. S. Stelle. 2015-06-11. Renormalizability Properties of Supergravity. https://arxiv.org/abs/1506.03757

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