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Manuscript Title: Dill: an algorithm and a symbolic software package for doing classical supersymmetry calculations.
Authors: V. Lucic
Program title: Dill
Catalogue identifier: ADBX_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 92(1995)90
Programming language: Mathematica, C.
Operating system: UNIX.
Keywords: Computer algebra, Elementary particle physics, Phenomenological model, Supersymmetry, Symbolic calculation.
Classification: 5, 11.6.

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.

Solution method:
The algorithm is given in this paper.

Restrictions:
Depends on the amount of data Mathematica can handle.

Unusual features:
The structure and the method used in the package are such that it can be easily extended to theories other than the 4-D, N=1 supersymmetry model, for which it is developed. Symmetries of the fields are taken into account. Particular care has been taken of the dummy indices; they are treated in a way that is independent of the actual symbols used to denote them, and they are never expanded. With the help of output commands, the output is produced in the same, easy to read form a physicist would derive it. The package can be used both interactively and non-interactively.

Running time:
Depends on the complexity of the problem; from a few seconds to several hours.

References:
[1] S. Wolfram Mathematica a System for Doing Mathematics by Computer (Addison-Wesley, 1991)
[2] J. Wess and J. Bagger Supersymmetry and Supergravity (Princeton University Press, 1983)