Complete N-point superstring disk amplitude I. Pure spinor computation
Complete N-point superstring disk amplitude I. Pure spinor computation
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DOI：
10.1016/j.nuclphysb.2013.04.023
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发表时间：
2011-06
期刊：
影响因子：
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通讯作者：
Carlos R. Mafra;O. Schlotterer;S. Stieberger
中科院分区：
文献类型：
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作者：
Carlos R. Mafra;O. Schlotterer;S. Stieberger
本文利用纯旋量理论得到超弦N点盘振幅的一个紧致表达式。按颜色排序的弦振幅由（N-3）的和给出！super-Yang-米尔斯子振幅乘以多个高斯超几何函数。为了得到这个结果，利用纯旋量超空间的上同调结构推广了计算超杨-米尔斯振幅的Berends-Giele方法. Mafra等人（2011）[1]简要介绍了该方法，本文详细阐述了细节，并包含构建块和相关上同调对象的高阶示例。但这项工作的主要成就是确定这些领域的理论结构在超弦振幅的纯旋量计算。特别地，在这里建设性地获得了相关的基础世界面积分集，并在Mafra等人（2011）[2]，arXiv：1106.2646 [hep-th]中与振幅的结构和性质一起进行了彻底的研究。
In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color-ordered string amplitude is given by a sum over (N−3)! super-Yang–Mills subamplitudes multiplied by multiple Gaussian hypergeometric functions. In order to obtain this result, the cohomology structure of the pure spinor superspace is exploited to generalize the Berends–Giele method of computing super-Yang–Mills amplitudes. The method was briefly presented in Mafra et al. (2011) [1], and this paper elaborates on the details and contains higher-rank examples of building blocks and associated cohomology objects. But the main achievement of this work is to identify these field-theory structures in the pure spinor computation of the superstring amplitude. In particular, the associated set of basis worldsheet integrals is constructively obtained here and thoroughly investigated together with the structure and properties of the amplitude in Mafra et al. (2011) [2], arXiv:1106.2646 [hep-th].