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Oriented Matroid Theory as a Mathematical Framework for M-Theory

J. A. Nieto
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Abstract

We claim that $M$(atroid) theory may provide a mathematical framework for an underlying description of $M$-theory. Duality is the key symmetry which motivates our proposal. The definition of an oriented matroid in terms of the Farkas property plays a central role in our formalism. We outline how this definition may be carried over $M$-theory. As a consequence of our analysis we find a new type of action for extended systems which combines dually the $p$-brane and its dual $p^{\perp}$-brane.

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J. A. Nieto. 2006-07-14. Oriented Matroid Theory as a Mathematical Framework for M-Theory. https://arxiv.org/abs/hep-th/0506106

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