Quiver Topology and RG Dynamics

TL;DR

This paper shows how the structure of quiver diagrams can predict the renormalization group flows in gauge theories, and introduces a method to identify superpotential deformations leading to conformal fixed points.

Contribution

It provides a new approach to analyze RG flows in quiver gauge theories using their diagram structure and offers a practical method to find superpotential deformations that reach conformal fixed points.

Findings

Diagram structure predicts RG flow behavior.

Method identifies superpotential deformations for fixed points.

Enhances understanding of string vacua low-energy properties.

Abstract

Renormalization group flows of quiver gauge theories play a central role in determining the low-energy properties of string vacua. We demonstrate that useful predictions about the RG dynamics of a quiver gauge theory may be extracted from the global structure of its quiver diagram. For quiver theories of a certain type, we develop an efficient and practical method for determining which superpotential deformations generate a flow to an interacting conformal fixed point.