Tree amplitudes and two-loop counterterms in D = 11 supergravity
Tree amplitudes and two-loop counterterms in D = 11 supergravity
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D = 11 超重力中的树振幅和二环反项
DOI：
10.1103/physrevd.62.084010
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发表时间：
2000
影响因子：
5
通讯作者：
D. Seminara
中科院分区：
文献类型：
--
作者：
S. Deser;D. Seminara
我们计算 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、坐标和三型规范不变量的一部分。虽然这种壳上不变量是非局部的，但适当的保持 SUSY 的微分将其转化为具有正确维度的局部不变量，以提供自然的最低（二环）阶反项候选。它的存在明确表明，没有任何对称性可以保护这种终极超引力：事实上，这个不变量，连同最近计算的 4 引力子部分的无限系数，构成了双环不可重整化性的证明。
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.