English

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

Mathematical Physics 2022-10-18 v1 math.MP

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 P1\mathbb{P}_1, by using the ordinary nonlinear sigma model in two dimensions. We would derive the exact expression of ExtExt 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.

Keywords

Cite

@article{arxiv.2210.08416,
  title  = {A special D4-D2-branes configuration on K3 fiberation Calabi-Yau threefolds},
  author = {Fei Wang},
  journal= {arXiv preprint arXiv:2210.08416},
  year   = {2022}
}