Tree amplitudes and two-loop counterterms in DÄ11 supergravity
نویسندگان
چکیده
We compute the tree level 4-particle bosonic scattering amplitudes in D511 supergravity. By construction, they are part of a linearized supersymmetry, coordinate, and 3-form gauge invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest ~two-loop! order counterterm candidate. Its existence shows explicitly that no symmetries protect this ultimate supergravity: Indeed this invariant, together with the recently calculated infinite coefficient of its 4-graviton part, constitutes a demonstration of two-loop non-renormalizability.
منابع مشابه
ar X iv : h ep - t h / 00 02 24 1 v 1 2 8 Fe b 20 00 Tree Amplitudes and Two - loop Counterterms in D = 11
We compute the tree level 4-particle bosonic scattering amplitudes in D=11 supergravity. By construction, they are part of a linearized supersymmetry-, coordinate-and 3-form gauge-invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest (two-loop) order counterterm candidate. Its e...
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