两个R-R和一个NS态的S-矩阵元
S-matrix element of two R-R and one NS states
摘要：
我们在RNS形式下，显式地计算了两个闭弦R-R和一个开弦NS顶点算子的盘级S-矩阵元。我们证明了振幅满足各种对偶沃德恒等式。特别地，当R-R之一是零形式，另一个是二形式，NS态是规范玻色子时，振幅在S对偶沃德恒等式下变换为一个介子、一个B场和一个规范玻色子的振幅，这是最近明确计算的。我们还提出了一个软动量首阶的任意数目的硬闭弦和一个软开弦的盘级散射振幅的软定理，并证明了上述振幅满足软定理。
英文摘要：
We explicitly calculate the disk-level S-matrix element of two closed string R-R and one open string NS vertex operators in RNS formalism. We show that the amplitude satisfies various duality Ward identities. In particular, when one of the R-R is zero-form, the other one is two-form and the NS state is gauge boson, the amplitude transforms under S-duality Ward identity to the amplitude of one dilaton, one B-field and one gauge boson which has been recently calculated explicitly. We have also proposed a soft theorem for disk-level scattering amplitude of arbitrary number of hard closed strings and one soft open string at the leading order of soft momentum, and shown that the above amplitude satisfies the soft theorem.
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