Searching for a Connection Between Matroid Theory and String Theory

TL;DR

This paper explores potential links between matroid theory and string theory, proposing a generalized string framework involving Kahler metrics and discussing connections to Chern-Simons theory, supergravity, and matroid bundles.

Contribution

It introduces a novel generalization of string theory using Kahler metrics and explores the mathematical relationship between matroid theory and string-related physical theories.

Findings

Proposes a Kahler-metric-based generalization of string theory.

Establishes a connection between matroid theory and Chern-Simons theory.

Discusses the relationship between matroids, supergravity, and Chern-Simons formalism.

Abstract

We make a number of observations about matter-ghost string phase, which may eventually lead to a formal connection between matroid theory and string theory. In particular, in order to take advantage of the already established connection between matroid theory and Chern-Simons theory, we propose a generalization of string theory in terms of some kind of Kahler metric. We show that this generalization is closely related to the Kahler-Chern-Simons action due to Nair and Schiff. In addition, we discuss matroid/string connection via matroid bundles and a Schild type action, and we add new information about the relationship between matroid theory, D=11 supergravity and Chern-Simons formalism.