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

机译:D = 11超引力中的树幅和两环反条件

摘要

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.
机译:我们计算出D = 11超重力下的树级4粒子玻色子散射振幅。通过构造,它们是线性超对称,坐标和3形式量规不变量的一部分。尽管此壳上不变量是非局部的,但保留SUSY的适当微分会将其变成具有正确维数的局部变量,以提供自然的最低(两环)阶反条件候选者。它的存在清楚地表明没有对称性可以保护最终的超重力:实际上,这个不变性以及最近计算出的其4引力部分的无穷大系数构成了两环不可重归一化的证明。

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    Deser S.; Seminara D.;

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  • 年度 2000
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