The Monster Sporadic Group and a Theory Underlying Superstring Models

TL;DR

This paper proposes a deep connection between the Monster sporadic group and superstring models, suggesting a 13-dimensional supersymmetric theory with geometric matter interpretation based on duality symmetries and K3 manifolds.

Contribution

It introduces a novel supersymmetric theory linking the Monster group to superstring models through a geometric framework involving self-dual K3 manifolds in higher dimensions.

Findings

Monster group as a hidden symmetry in superstring models

A 13-dimensional supersymmetric theory with geometric matter

Matter states resemble heterotic string massless states

Abstract

The pattern of duality symmetries acting on the states of compactified superstring models reinforces an earlier suggestion that the Monster sporadic group is a hidden symmetry for superstring models. This in turn points to a supersymmetric theory of self-dual and anti-self-dual K3 manifolds joined by Dirac strings and evolving in a 13 dimensional spacetime as the fundamental theory. In addition to the usual graviton and dilaton this theory contains matter-like degrees of freedom resembling the massless states of the heterotic string, thus providing a completely geometric interpretation for ordinary matter.