A special D4-D2-branes configuration on K3 fiberation Calabi-Yau threefolds

TL;DR

This paper constructs a specific D4-D2-brane configuration on K3 fibered Calabi-Yau threefolds, deriving exact Ext groups and confirming feasibility via Gepner models, advancing understanding of brane systems in string theory.

Contribution

It introduces a novel D4-D2-brane configuration on K3 fibered Calabi-Yau threefolds and computes exact Ext groups using nonlinear sigma models and Gepner models.

Findings

Exact Ext group expressions derived for the brane configuration.

Feasibility of the brane configuration confirmed via Gepner model analysis.

Additional sheaf data for the brane system obtained.

Abstract

We construct a special D4-D2-brane configuration on the K3 fibered Calabi-Yau threefolds: canonical D4-branes on K3 fiberations and another D2-branes on its base $\mathbb{P}_1$, by using the ordinary nonlinear sigma model in two dimensions. We would derive the exact expression of $Ext$ groups of this construction. By using the Gepner model, we achieve the feasibility of the existence of such a configuration and get more available sheaf's data of this brane system.