Dill: an algorithm and a symbolic software package for doing classical supersymmetry calculations

Abstract An algorithm is presented that formalizes different steps in a classical Supersymmetric (SUSY) calculation. Based on the algorithm Dill, a symbolic software package, that can perform the calculations, is developed in the Mathematica programming language. While the algorithm is quite general, the package is created for the 4 − D, N = 1 model. Nevertheless, with little modification, the package could be used for other SUSY models. The package has been tested and some of the results are presente... Title of program: Dill Catalogue Id: ADBX_v1_0 Nature of problem The classical equations of a supersymmetric theory are manipulated and simplified analytically using the superspace formalism [2]. The equations may involve the action of supercovariant and Grassman derivatives and include different superfields. A result is given in terms of space-time fields. Versions of this program held in the CPC repository in Mendeley Data ADBX_v1_0; Dill; 10.1016/0010-4655(95)00081-P This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要 本文提出一种算法，可将经典超对称（Supersymmetric, SUSY）计算中的各个步骤进行形式化建模。基于该算法，我们采用Mathematica编程语言开发了一款可执行此类计算的符号计算软件包Dill。尽管该算法具备较强通用性，但本软件包仅针对四维（4-D）N=1超对称模型开发。不过仅需少量修改，该软件包即可适配其他超对称模型。目前该软件包已完成测试，部分计算结果已在文中呈现…… 程序名称：Dill 目录编号：ADBX_v1_0 问题实质 利用超空间形式体系（superspace formalism）[2]，对超对称理论的经典方程进行解析处理与化简。此类方程可能涉及超协变导数（supercovariant derivative）与格拉斯曼导数（Grassman derivatives）的运算，且包含各类超场（superfields），最终结果以时空场（space-time fields）的形式给出。 本程序在Mendeley数据平台的CPC程序库中的版本信息 ADBX_v1_0；Dill；10.1016/0010-4655(95)00081-P 本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2019年）