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.

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.