Quiver Theories from D6-branes via Mirror Symmetry

TL;DR

This paper explores how D3-branes at del Pezzo singularities translate into D6-branes on a three-torus under mirror symmetry, using (p,q) 5-brane webs to derive gauge theories and brane charges.

Contribution

It provides a novel geometric framework connecting D3-branes at singularities with D6-branes via mirror symmetry, utilizing (p,q) 5-brane webs for detailed gauge theory construction.

Findings

D3-branes map to D6-branes wrapped on a three-torus under mirror symmetry.

(p,q) 5-brane webs encode the geometry of 3-cycles in the mirror manifold.

Explicit derivation of gauge groups, quiver diagrams, and fractional brane charges.

Abstract

We study N=1 four dimensional quiver theories arising on the worldvolume of D3-branes at del Pezzo singularities of Calabi-Yau threefolds. We argue that under local mirror symmetry D3-branes become D6-branes wrapped on a three torus in the mirror manifold. The type IIB (p,q) 5-brane web description of the local del Pezzo, being closely related to the geometry of its mirror manifold, encodes the geometry of 3-cycles and is used to obtain gauge groups, quiver diagrams and the charges of the fractional branes.