论文标题

在$ ads_5 \ times s^5 $上迈向所有循环超级振幅

Towards All Loop Supergravity Amplitudes on $AdS_5 \times S^5$

论文作者

Bissi, A., Fardelli, G., Georgoudis, A.

论文摘要

我们研究应力调整多重组在四维$ \ MATHCAL {n} = 4 $ SUPER YANG MILLS中的超级符号初级函数,在很大的't Hooft耦合和大型$ n $扩展中。在$ ads_5 \ times s^5 $上,这种可观察到的可观察到四个重力振幅的全息二值。我们以$ n^{ - 6} $的顺序构建相关器中最trast的零件,并将其与相应两个环振幅的平坦空间极限进行比较。这种比较使我们能够猜测相关器/振幅的结构,该结构应以任何循环顺序存在。

We study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically dual to four graviton amplitudes in type IIB supergravity on $AdS_5 \times S^5$. We construct the most trascendental piece of the correlator at order $N^{-6}$ and compare it with the flat space limit of the corresponding two loops amplitude. This comparison allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.

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