Massless D-Branes on Calabi-Yau Threefolds and Monodromy

TL;DR

This paper classifies all massless B-type D-branes in Calabi-Yau threefolds by analyzing monodromies in moduli space, confirming a conjecture on monodromy structure and linking massless branes to monodromy behavior.

Contribution

It provides a comprehensive classification of massless B-type D-branes at any moduli space point, justifying Horja's monodromy conjecture through monodromy analysis.

Findings

Classification of all massless B-type D-branes in Calabi-Yau moduli space

Validation of Horja's monodromy conjecture

Method to generate monodromies for multiple massless branes

Abstract

We analyze the link between the occurrence of massless B-type D-branes for specific values of moduli and monodromy around such points in the moduli space. This allows us to propose a classification of all massless B-type D-branes at any point in the moduli space of Calabi-Yau's. This classification then justifies a previous conjecture due to Horja for the general form of monodromy. Our analysis is based on using monodromies around points in moduli space where a single D-brane becomes massless to generate monodromies around points where an infinite number become massless. We discuss the various possibilities within the classification.