Factorization of scattering is the hallmark of integrable 1+1 dimensional quantum field theories. For factorization of scattering to be possible the set of masses and momenta must be conserved in any two-to-two scattering process. We use this fact to constrain the form of the Ramond-Ramond fluxes for integrable supergravity anti-de Sitter backgrounds by analysing tree-level scattering of two AdS bosons into two fermions on the worldsheet of a BMN string. We find a condition which can be efficiently used to rule out integrability of AdS strings and therefore of the corresponding AdS/CFT dualities, as we demonstrate for some simple examples.

翻译：散射的分化是不可磨灭的 1+1 维量场理论的特征。 要将散射的分化成为可能,就必须在任何两到二分散过程中保护质量和瞬间。 我们利用这一事实来限制不可磨灭的超重力反蒸发背景的雷蒙德-雷蒙通量的形式,方法是分析树层中两个ADS 波子散射成BMN 字符串世界表上的两个发酵。 我们发现一个可以有效用来排除ADS 字符串的不兼容性以及相应的ADS/FF的二元性的条件,我们为一些简单的例子展示了这一点。