Loop corrections for Kaluza-Klein AdS amplitudes
Loop corrections for Kaluza-Klein AdS amplitudes
复制标题
Kaluza-Klein AdS 振幅的环路校正
DOI：
10.1007/jhep05(2018)056
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发表时间：
2017
影响因子：
5.4
通讯作者：
H. Paul
中科院分区：
文献类型：
--
作者：
F. Aprile;J. Drummond;P. Heslop;H. Paul
最近我们利用N\mathcal{N}= 4的超杨-米尔斯理论的算符乘积展开，在一个圈上计算了AdS_5 × S_5中引力子多重态的四点振幅.在这里，我们给出了这些结果的第一个扩展，包括卡鲁扎-克莱因模式，获得的振幅为两个引力子多重态和两个国家的第一KK模式。我们的方法再次依赖于解决一个家庭的长双迹运营商之间的大N退化，为此，我们得到明确的公式领先的异常尺寸。在构造了单圈振幅之后，我们得到了对所有扭五双迹算符反常维数的单圈修正公式。
A bstractRecently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N$$ \mathcal{N} $$ = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.