We compute the asymmetric and symmetric correlation functions of a four-point amplitude of a gauge field, a scalar field, and a closed string Ramond-Ramond (RR) for different nonvanishing BPS branes. All world volume, the Taylor and pull-back couplings, and their all-order corrections have also been explored. Due to various symmetry structures, different restricted BPS Bianchi identities have also been constructed. The prescription of exploring all the corrections of two closed string RR couplings in type IIB is given. We obtain the closed form of the entire S-matrix elements of two closed string RRs and a gauge field on the world volume of BPS branes in type IIB. All the correlation functions of are also revealed accordingly. The algebraic forms for the most general case of the integrations on the upper half plane are derived in terms of Pochhammer and some analytic functions. Lastly, we generate various singularity structures in both effective field theory and IIB string theory, producing different contact interactions as well as their higher derivative corrections.

中文翻译：

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关于BPS世界量，RR联轴器及其对IIB型的修正

我们针对不同的无消失BPS黄铜计算了规范场，标量场和闭合弦Ramond-Ramond（RR）的四点幅度的不对称和对称相关函数。还研究了所有世界的体积，泰勒和拉回联轴器以及它们的所有阶次校正。由于各种对称结构，还构造了不同的受限BPS Bianchi身份。给出了探索IIB型两个闭合弦RR联轴节的所有校正的处方。我们获得了两个闭合弦RR的整个S矩阵元素的闭合形式，以及IIB型BPS黄铜的世界体积上的一个规范区域。的所有相关函数也会相应地显示出来。积分最一般情况的代数形式根据Pochhammer和一些解析函数推导上半平面上的。最后，我们在有效场论和IIB弦论中都产生了各种奇异结构，产生了不同的接触相互作用以及它们的较高导数校正。