Topological Models on the Lattice and a Remark on String Theory Cloning

TL;DR

This paper explores how adding topological models to string theories results in multiple decoupled space-time worlds, classifies related models, and discusses their potential coupling during the early universe.

Contribution

It introduces a classification of topological vertex models on triangulated surfaces and discusses their implications for string theory and early universe coupling.

Findings

Multiple decoupled space-time worlds emerge from topological additions.

Classification of topological vertex models on triangulated surfaces.

Insights into coupling mechanisms during the Planck era.

Abstract

The addition of a topological model to the matter content of a conventional closed-string theory leads to the appearance of many perturbatively-decoupled space-time worlds. We illustrate this by classifying topological vertex models on a triangulated surface. We comment on how such worlds could have been coupled in the Planck era.