Matroid Theory and Supergravity

Details Matroid Theory and Supergravity Matroid Theory and Supergravity

1998-07-15

arxiv.org/abs/hep-th/9807107v1

Rev.Mex.Fis. 44 (1998) 358-361

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Revtex, to appear in Rev. Mex. Fis. 1998

Scientific paper

In this work, we consider matroid theory. After presenting three different (but equivalent) definitions of matroids, we mention some of the most important theorems of such theory. In particular, we note that every matroid has a dual matroid and that a matroid is regular if and only if it is binary and includes no Fano matroid or its dual. We show a connection between this last theorem and octonions which at the same time, as it is known, are related to the Englert's solution of D = 11 supergravity. Specifically, we find a relation between the dual of Fano matroid and D = 11 supergravity. Possible applications to M-theory are speculated upon.

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