论文标题
迈向非架构的超弦
Towards Non-archimedean Superstrings
论文作者
论文摘要
提出了针对目标Minkowski空间的$ P $ ADIC开放式超弦的行动。该操作是为“世界表格”字段构建的，以$ p $ - adiC字段$ \ mathbb {q} _p $构建，但假定它是从bruhat-tits树上的离散操作中获得的。事实证明，该动作具有世界表超对称性的类似物，并且在超级场地上也构建了超空作用。该动作没有共形对称性，但是在振幅的定义中实现了。该理论的树级振幅是针对与Tachyon Superfields相对应的$ N $顶点操作员获得的，并获得了Koba-Nielsen公式。最后，明确计算了四点振幅，并将其与以前的$ p $ addic superstring振幅进行了比较。
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.
