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 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.

Tree amplitudes and two-loop counterterms in D = 11 supergravity / S. DESER; D. SEMINARA. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 62:(2000), pp. 084010 -1-084010-8. [10.1103/PhysRevD.62.084010]

Tree amplitudes and two-loop counterterms in D = 11 supergravity

SEMINARA, DOMENICO
2000

Abstract

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 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.
62
084010 -1
084010-8
S. DESER; D. SEMINARA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/223001
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