Oriented Matroid Theory as a Mathematical Framework for M-Theory

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.

12 pages, Latex; some improvements introduced, typos corrected

Cited by in corpus (3)

• Towards an Ashtekar Formalism in Twelve Dimensions
• Toward a Connection between the Oriented Matroid Theory and Supersymmetry
• Maximal Supersymmetry in Eleven-Dimensional Supergravity Revisited and Chirotopes