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Phys. Rev. Lett. 38, 527–530 (1977)

Renormalizability Properties of Supergravity

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S. Deser, J. H. Kay*, and K. S. Stelle
Department of Physics, Brandeis University, Waltham, Massachusetts 02154

Received 27 December 1976; published in the issue dated 7 March 1977

The possible local counterterms in 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.

© 1977 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.38.527
DOI:
10.1103/PhysRevLett.38.527
PACS:

*National Science Foundation Graduate Fellow.