Duality Constraints on Counterterms in Supergravities
Duality Constraints on Counterterms in Supergravities
复制标题
超引力反项的对偶约束
DOI：
10.1002/prop.201800054
复制
发表时间：
2018
期刊：
影响因子：
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通讯作者：
Yamada, Yusuke
中科院分区：
文献类型：
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作者：
Freedman, Daniel Z.;Kallosh, Renata;Yamada, Yusuke
在超引力中的4点振幅的计算中发现的UV有限性还没有得到解释，这激发了我们对和的相关超空间不变量和壳层超级振幅的研究。的局部4点超不变量预期具有非线性完成，其6点振幅具有非零SSL（软标量极限），违反了Goldstone玻色子所需的行为。因为，我们发现，在局部6点超不变量和超级振幅，这可能会取消这些SSL的，不存在。这排除了候选的4点反项，从而给出了对所观察到的有限性的合理解释。然而，我们构造了一个具有非零SSL的局部6点超不变量，因此SSL参数不能解释观察到的 UV有限性对于超引力，在或4处没有6点不变量，因此SSL论证预测了UV有限性。
The UV finiteness found in calculations of the 4‐point amplitude in supergravity at loop order has not been explained, which motivates our study of the relevant superspace invariants and on‐shell superamplitudes for both and . The local 4‐point superinvariants for are expected to have nonlinear completions whose 6‐point amplitudes have non‐vanishing SSL's (soft scalar limits), violating the behavior required of Goldstone bosons. For , we find at that local 6‐point superinvariant and superamplitudes, which might cancel these SSL's, do not exist. This rules out the candidate 4‐point counterterm and thus gives a plausible explanation of the observed finiteness. However, at we construct a local 6‐point superinvariant with non‐vanishing SSL's, so the SSL argument does not explain the observed UV finiteness. For supergravity there are no 6‐point invariants at either or 4, so the SSL argument predicts UV finiteness.