# Chiral flavors and M2-branes at toric CY4 singularities

## TL;DR

This paper explores the extension of AdS4/CFT3 dualities to toric CY4 singularities with degenerating M-theory circles, incorporating D6-branes and chiral flavors, and provides a method to derive the moduli space of flavored quiver gauge theories.

## Contribution

It introduces a general recipe for deriving the geometric moduli space of flavored Abelian toric quiver gauge theories with new duals for various geometries.

## Key findings

- Derived the moduli space of flavored theories using quantum F-term relations.
- Found new field theory duals to geometries including Q111.
- Extended dualities to cases with degenerating M-theory circles and D6-branes.

## Abstract

We extend the stringy derivation of N=2 AdS4/CFT3 dualities to cases where the M-theory circle degenerates at complex codimension-two submanifolds of a toric conical CY4. The type IIA backgrounds include D6-branes, and the dual N=2 quiver gauge theories contain chiral flavors. We provide a general recipe to derive the geometric moduli space of flavored versions of Abelian toric quiver gauge theories. The CY4 cone is reproduced thanks to a non-trivial quantum F-term relation between diagonal monopole operators and bifundamental fields. We find new field theory duals to many geometries, including Q111.