A-D-E Quivers and Baryonic Operators

TL;DR

This paper investigates baryonic operators in quiver gauge theories derived from D3-branes at conifold orbifolds, confirming string theory predictions and exploring duality actions on these operators.

Contribution

It develops new techniques to enumerate baryonic operators in quiver gauge theories with varying gauge group ranks, validating string theory predictions.

Findings

Number and order of fixed points of Gamma match baryonic operator spectrum

Developed enumeration methods for baryonic operators with different gauge group ranks

Found non-Abelian actions of Seiberg dualities on baryonic operators

Abstract

We study baryonic operators of the gauge theory on multiple D3-branes at the tip of the conifold orbifolded by a discrete subgroup Gamma of SU(2). The string theory analysis predicts that the number and the order of the fixed points of Gamma acting on S^2 are directly reflected in the spectrum of baryonic operators on the corresponding quiver gauge theory constructed from two Dynkin diagrams of the corresponding type. We confirm the prediction by developing techniques to enumerate baryonic operators of the quiver gauge theory which includes the gauge groups with different ranks. We also find that the Seiberg dualities act on the baryonic operators in a non-Abelian fashion.