Study of $N=2$ Superconformal Field Theories in $4$ Dimensions

TL;DR

This paper constructs new classes of 4D N=2 superconformal field theories by tuning moduli parameters to critical points, revealing universality classes within these theories.

Contribution

It introduces a method to generate new N=2 SCFTs using exact solutions and moduli tuning, expanding the known landscape of such theories.

Findings

New classes of N=2 SCFTs identified

Universality classes of 4D N=2 SCFTs established

Method based on moduli tuning and critical points

Abstract

Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. SCFTs we have constructed represent universality classes of the 4-dimensional $N=2$ SCFTs.