Toward a Connection between the Oriented Matroid Theory and Supersymmetry

J. A. Nieto

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arXiv · hep-th/0510185

Toward a Connection between the Oriented Matroid Theory and Supersymmetry

J. A. Nieto

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Abstract

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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J. A. Nieto. 2005-10-21. Toward a Connection between the Oriented Matroid Theory and Supersymmetry. https://arxiv.org/abs/hep-th/0510185

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