Matroids and p-branes

TL;DR

This paper explores the connection between matroid theory and p-branes, using matroid bundles and duality concepts to potentially impact M-theory and related fields.

Contribution

It introduces a novel link between matroid theory and p-branes through matroid bundles and duality, expanding the mathematical framework for brane physics.

Findings

Matroid bundles provide a new mathematical structure for p-branes.

Duality concepts from matroid theory are applicable to p-brane physics.

Potential implications for M-theory and matroid bundle theory.

Abstract

A link between matroid theory and $p$-branes is discussed. The Schild type action for $p$-branes and matroid bundle notion provide the two central structures for such a link. We use such a connection to bring the duality concept in matroid theory to $p$-branes physics. Our analysis may be of particular interest in M-theory and in matroid bundle theory.