The Web of D-branes at Singularities in Compact Calabi-Yau Manifolds

TL;DR

This paper explores continuous supersymmetric transitions among different D3/D7 brane configurations at singularities within compact Calabi-Yau manifolds, revealing a web of interconnected quiver gauge theories with global embeddings.

Contribution

It introduces novel continuous supersymmetric transitions connecting local D-brane models via bulk-to-flavour brane movements in compact Calabi-Yau spaces.

Findings

Connected local models through flat directions via brane transitions

Revealed a web of quiver gauge theories parametrized by brane splitting/recombination

Provided concrete global embeddings of chiral models at dP_0 singularity

Abstract

We present novel continuous supersymmetric transitions which take place among different chiral configurations of D3/D7 branes at singularities in the context of type IIB Calabi-Yau compactifications. We find that distinct local models which admit a consistent global embedding can actually be connected to each other along flat directions by means of transitions of bulk-to-flavour branes. This has interesting interpretations in terms of brane recombination/splitting and brane/anti-brane creation/annihilation. These transitions give rise to a large web of quiver gauge theories parametrised by splitting/recombination modes of bulk branes which are not present in the non-compact case. We illustrate our results in concrete global embeddings of chiral models at a dP_0 singularity.