标题： 无质量表示的有质量超场和纯旋量形式的树幅 显示英文标题

标题： Massless representation of massive superfields and tree amplitudes with the pure spinor formalism

摘要： 我们从无质量顶点的OPE构造了开超弦第一激发层的非积分顶点算符。利用BRST上同调操作，将两个无质量态和一个有质量态的树图振幅重写为无质量四点振幅在${\alpha^\prime}^2$层纯旋量超空间动力学表达式的纯形式。发现了一种推广关系，它将带有一个有质量态的部分$n$点树图振幅与${\alpha^\prime}^2$校正项的n+1个无质量振幅线性组合联系起来，并证明其与幺正性一致。 显示英文摘要

摘要： We construct the unintegrated vertex operator at the first mass level of the open superstring from the OPE of massless vertices. Using BRST cohomology manipulations, the tree amplitude of two massless and one massive state is rewritten in terms of the pure spinor superspace kinematic expression of the massless four-point amplitude at the ${\alpha^\prime}^2$ level. A generalization relating the partial $n$-point tree amplitudes with one massive state and linear combinations of the ${\alpha^\prime}^2$ corrections to n+1 massless amplitudes is found and shown to be consistent with unitarity.