Counterterms/M-theory Corrections to D=11 Supergravity

Abstract

We construct a local on-shell invariant in D=11 supergravity from the nonlocal four-point tree scattering amplitude.Its existence, together with earlier arguments, implies non-renormalizability of the theory at lowest possible, two loop, level. This invariant, whose leading bosonic terms are exhibited, may also express the leading, "zero-slope", M$-$theory corrections to its D=11 supergravity limit.

16 pages RevTeX

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