Some Navigation Rules for D-Brane Monodromy

TL;DR

This paper investigates the monodromies of D-branes in Calabi-Yau moduli space using derived categories, computing examples and relating findings to helices and mutations.

Contribution

It provides explicit calculations of D-brane monodromies and connects them to mathematical structures like helices and mutations in derived categories.

Findings

Computed monodromies in specific Calabi-Yau examples

Linked monodromies to helices and mutations

Identified unique properties of the 0-brane

Abstract

We explore some aspects of monodromies of D-branes in the Kahler moduli space of Calabi-Yau compactifications. Here a D-brane is viewed as an object of the derived category of coherent sheaves. We compute all the interesting monodromies in some nontrivial examples and link our work to recent results and conjectures concerning helices and mutations. We note some particular properties of the 0-brane.