Towards non-Archimedean superstrings

An action for a prospect of $p$-adic open superstring on target Minkowski space is proposed. The constructed `worldsheet' fields taking values in the field $\mathbb{Q}_p$, but it assumed to be obtained from discrete Bruhat-Tits tree. This proven have an analog worldsheet supersymmetry and superspace also terms superfields. does not conformal symmetry, however implemented definition amplitudes. tree-level amplitudes this theory are $N$ vertex operators corresponding tachyon superfields Koba-Nielsen formula obtained. Finally, four-point computed explicitly they compared previous work