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arxiv: hep-th/0410027 · v1 · submitted 2004-10-04 · ✦ hep-th

Graphical Representation of Supersymmetry and Computer Calculation

classification ✦ hep-th
keywords supersymmetryarrowschiralcomputerexpectedgraphicalrepresentationsuffixes
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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.

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