N=2 Superconformal Theories and their Integrable Deformations

TL;DR

This paper explores the algebraic structures of N=2 superconformal field theories, focusing on their chiral rings and how integrable deformations relate to algebraic properties, revealing new connections in theoretical physics.

Contribution

It uncovers novel relations between integrability of perturbations and algebraic features of the deformed chiral ring in N=2 superconformal theories.

Findings

Identified links between integrability and chiral ring algebraic properties

Established new algebraic relations in deformed N=2 superconformal theories

Provided insights into the structure of superconformal field theories

Abstract

After a short review of the algebraic setting of N=2 superconformal field theories, their chiral ring and their perturbations, I present some recent results on curious relations between the integrability of their perturbations and algebraic properties of their deformed chiral ring. (Lecture given at Hang-zhou, China, Sept 1993)