扭转子与Ramond向量的统一
Unification of twistors and Ramond vectors
摘要：
我们推广了超扭转子的概念，并引入了一个新的超对称对象--$θ$ -扭转子，它包含了自旋弦动力学中著名的复合Ramond矢量[11]。研究了手征$θ$ -扭量超空间的对称性。结果表明，由$θ$ -扭量引入的手征自旋结构破坏了超共形boost对称性，但保持了标度对称性和超Poincare对称性.这种几何破缺效应与玻色子散射振幅的共形增强破缺的Gross-Wess效应相关。
英文摘要：
We generalize the idea of supertwistors and introduce a new supersymmetric object - the $θ$-twistor which includes the composite Ramond vector [11] well known from the spinning string dynamics. The symmetries of the chiral $θ$-twistor superspace are studied. It is shown that the chiral spin structure introduced by the $θ$-twistor breaks the superconformal boost symmetry but preserves the scale symmetry and the super-Poincare symmetry. This geometrical effect of breaking correlates with the Gross-Wess effect of the conformal boost breaking for bosonic scattering amplitudes.
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