Boundary Conditions and Heterotic Construction in Topological Membrane Theory

TL;DR

This paper explores how boundary conditions in topological membrane theory can produce heterotic strings, providing a geometric foundation for heterotic string construction within a membrane framework.

Contribution

It demonstrates that heterotic strings naturally emerge from specific boundary conditions in topological membranes, linking membrane boundary choices to string theory types.

Findings

Heterotic strings can be derived from boundary conditions in topological membranes.

Different boundary conditions lead to various string theories, including superstrings.

The geometric origin of heterotic strings is established through membrane boundary analysis.

Abstract

Using the topological membrane approach to string theory, we suggest a geometric origin for the heterotic string. We show how different membrane boundary conditions lead to different string theories. We discuss the construction of closed oriented strings and superstrings, and demonstrate how the heterotic construction naturally arises from a specific choice of boundary conditions on the left and right boundaries of a cylindrical topological membrane.