非阿基米德超弦
Towards Non-archimedean Superstrings
摘要：
给出了目标Minkowski空间上$p$ -adic开超弦的前景的作用量.该动作是为在$p$ -adic字段$\mathbb{Q}_p$中取值的“worldsheet”字段构造的，但假定它是从Bruhat-Tits树上的离散动作获得的。这种作用量被证明具有世界片超对称性的类似物，超空间作用量也被构造成超场。该作用不具有共形对称性，但是它在振幅的定义中实现。对于对应于快子超场的$N$顶点算符，得到了该理论的树能级振幅，并得到了Koba-Nielsen公式.最后，四点的振幅计算明确，他们进行了比较，以前的工作$p$ -进超弦振幅。
英文摘要：
An action for a prospect of a $p$-adic open superstring on a target Minkowski space is proposed. The action is constructed for `worldsheet' fields taking values in the $p$-adic field $\mathbb{Q}_p$, but it is assumed to be obtained from a discrete action on the Bruhat-Tits tree. This action is proven to have an analog of worldsheet supersymmetry and the superspace action is also constructed in terms of superfields. The action does not have conformal symmetry, however it is implemented in the definition of the amplitudes. The tree-level amplitudes for this theory are obtained for $N$ vertex operators corresponding to tachyon superfields and a Koba-Nielsen formula is obtained. Finally, four-point amplitudes are computed explicitly and they are compared to previous work on $p$-adic superstring amplitudes.
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