Symmetries in Two Dimensional Conformal Field Theories and Related Integrable Models

TL;DR

This paper investigates symmetries in two-dimensional superconformal field theories, explores their renormalization group properties, and examines potential additional symmetries in related integrable models.

Contribution

It extends the study of superconformal field theories to SU(2) coset models and explores their symmetry structures and renormalization behaviors.

Findings

Analysis of superconformal symmetries in N=1 and N=2 theories

Insights into the renormalization group flow of SU(2) coset models

Identification of potential additional symmetries in integrable models

Abstract

We present part of our investigations on two dimensional N=1 and N=2 superconformal field theories. As a direct generalization we consider the SU(2) coset models, in particular their renormalization group properties. A search and possible implementation of additional symmetries in related integrable models are also presented.