$R^4$ terms in supergravity and M-theory

Abstract

Higher-order invariants and their role as possible counterterms for supergravity theories are reviewed. It is argued that N=8 supergravity will diverge at 5 loops. The construction of $R^4$ superinvariants in string and M-theory is discussed.

Contribution to Deserfest: A celebration of the life and work of Stanley Deser, Ann Arbor, Michigan, April 3-5 2004. 12 pages

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• AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4