Branes at Orbifolded Conifold Singularities and Supersymmetric Gauge Field Theories

TL;DR

This paper investigates the gauge theories on D3 branes at complex orbifolded conifold singularities, revealing phase transitions and the emergence of orbifold singularities through geometric and field-theoretic analysis.

Contribution

It introduces a detailed study of the moduli space of gauge theories at non-quotient orbifolded conifold singularities using toric geometry and sigma models, highlighting phase transitions and singularity formations.

Findings

Topologically distinct phases are connected by flop transitions.

Orbifold singularities can appear in certain phases with specific field expectation values.

The moduli space structure is elucidated through toric and gauged linear sigma model techniques.

Abstract

We consider D3 branes at orbifolded conifold singularities which are not quotient singularities. We use toric geometry and gauged linear sigma model to study the moduli space of the gauge theories on the D3 branes. We find that topologically distinct phases are related by a flop transition. It is also shown that an orbifold singularity can occur in some phases if we give expectation values to some of the chiral fields.