BCFT and Ribbon Graphs as tools for open/closed string dualities

TL;DR

This paper develops a scalar boundary conformal field theory on triangulated surfaces, providing tools rooted in simplicial models to explore open/closed string dualities from a string theory perspective.

Contribution

It introduces a fully characterized scalar BCFT on triangulated Riemann surfaces, linking simplicial models to string dualities.

Findings

Constructed a scalar BCFT on triangulated surfaces.

Analyzed the model as a tool for open/closed string dualities.

Provides a framework connecting simplicial models with string theory concepts.

Abstract

In the framework of simplicial models, we construct and we fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analysed from a string theory perspective as tools to deal with open/closed string dualities.