论文标题
纯旋转扭曲器的描述AmbitWistor字符串
A Pure Spinor Twistor Description of Ambitwistor Strings
论文作者
论文摘要
我们提供了对AmbitWistor弦的十维描述。该公式基于一组涉及纯旋转器的超夫人变量，以及在贝尔科维特（Berkovits）引入的十维扭曲器状结构之后，先前在$ d = 10 $ superparpicle的上下文中引入的一组约束。我们对约束代数进行详细的量子力学分析，我们表明相应的中央电荷消失了，并且在考虑了方便的量规修复程序后，发现了物理状态。顶点操作员是明确构造的，并通过注意到与标准的纯旋转形式主义的关系，显示出散射幅度可以正确描述$ d = 10 $ super-yang-mills互动。与其他AmbitWistor弦模型一样，发现振幅位于散射方程的支撑上，因此这项工作提供了伯科维茨的构造与Cachazo-He-Yuan公式之间的桥梁。将纯旋转扭曲器变换扩展到包含额外的超对称性后，我们的结果立即被推广到IIB型超重力。
We present a novel ten-dimensional description of ambitwistor strings. This formulation is based on a set of supertwistor variables involving pure spinors and a set of constraints previously introduced in the context of the $D=10$ superparticle following a ten-dimensional twistor-like construction introduced by Berkovits. We perform a detailed quantum-mechanical analysis of the constraint algebra, we show that the corresponding central charges vanish, and after considering a convenient gauge fixing procedure, physical states are found. Vertex operators are explicitly constructed and, by noticing a relation with the standard pure spinor formalism, scattering amplitudes are shown to correctly describe $D=10$ super-Yang-Mills interactions. As in other ambitwistor string models, amplitudes are found to be localized on the support of the scattering equations, and thus this work provides a bridge between Berkovits' construction and the Cachazo-He-Yuan formulae. After extending the pure spinor twistor transform to include an additional supersymmetry, our results are immediately generalized to Type IIB supergravity.
