English

Graphical Representation of Supersymmetry and Computer Calculation

High Energy Physics - Theory 2007-05-23 v1

Abstract

A graphical representation of supersymmetry is presented. It clearly expresses the chiral flow appearing in SUSY quantities, by representing spinors by {\it directed lines} (arrows). The chiral suffixes are expressed by the directions (up, down, left, right) of the arrows. The SL(2,C) invariants are represented by {\it wedges}. We are free from the messy symbols of spinor suffixes. The method is applied to the 5D supersymmetry. Many applications are expected. The result is suitable for coding a computer program and is highly expected to be applicable to various SUSY theories (including Supergravity) in various dimensions.

Keywords

Cite

@article{arxiv.hep-th/0410027,
  title  = {Graphical Representation of Supersymmetry and Computer Calculation},
  author = {Shoichi Ichinose},
  journal= {arXiv preprint arXiv:hep-th/0410027},
  year   = {2007}
}

Comments

Proceedings of SUSY 2004, 4 pages, many figures

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