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Oriented Matroid Theory as a Mathematical Framework for M-Theory

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arxiv hep-th/0506106 v2 pith:7IY4Z7S3 submitted 2005-06-13 hep-th

Oriented Matroid Theory as a Mathematical Framework for M-Theory

classification hep-th
keywords theorybranedefinitionframeworkmathematicalmatroidorientedaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Generalized Elko Theory

    gr-qc 2019-06 unverdicted novelty 3.0

    Generalizes Elko theory via a totally antisymmetric spinor field and notes possible links to matroids, qubits, and surreal numbers.