Some chiral rings of N=2 discrete superconformal series induced by SL(2) degenerate conformal field theories

TL;DR

This paper explores the relationship between SL(2) degenerate conformal field theories and N=2 discrete superconformal series, revealing insights into chiral rings and quantum group structures.

Contribution

It introduces a generalized fermionic construction linking SL(2) degenerate theories with N=2 models, enabling analysis of chiral operators and their algebraic properties.

Findings

Identified a relation between SL(2) degenerate theories and N=2 series.

Demonstrated the connection between chiral rings and quantum groups.

Included N=2 minimal models as a special case.

Abstract

By generalizing a fermionic construction, a natural relation is found between SL(2) degenerate conformal field theories and some N=2 discrete superconformal series. These non-unitary models contain, as a subclass, N=2 minimal models. The construction permits one to investigate the properties of chiral operators in the N=2 models. A chiral ring reveals a close connection with underlying quantum group structures.