Toward a Connection between the Oriented Matroid Theory and Supersymmetry

Details Toward a Connection between the Oriented Matroid Theory and Supersymmetry Toward a Connection between the Oriented Matroid Theory and Supersymmetry

2005-10-21

arxiv.org/abs/hep-th/0510185v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

We considered the possibility that the oriented matroid theory is connected with supersymmetry via the Grassmann-Plucker relations. The main reason for this, is that such relations arise in both in the chirotopes definition of an oriented matroid, and in maximally supersymmetric solutions of eleven- and ten-dimensional supergravity theories. Taking this observation as a motivation, and using the concept of a phirotope, we propose a mechanism to implement supersymmetry in the context of the oriented matroid theory.

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