Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matroid Theory and Supergravity   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.

3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat