Renormalization group flows for $Z_5$ parafermionic field theory

TL;DR

This paper investigates the behavior of the second $Z_5$ parafermionic field theory under small perturbations using renormalization group methods, identifying and classifying new fixed points.

Contribution

It introduces a novel analysis of $Z_5$ parafermionic theories with renormalization group techniques, revealing previously unknown fixed points and their classifications.

Findings

Discovery of new fixed points in $Z_5$ parafermionic theory

Classification of these fixed points based on symmetry and stability

Insights into the effect of relevant perturbations on parafermionic models

Abstract

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry $Z\_{5}$. New fixed points are found and classified.