Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras

TL;DR

This paper derives character identities for N=1 and N=2 superconformal models using Bailey's lemma, connecting them to nonunitary minimal models and providing new Ramond sector character formulas.

Contribution

It introduces a novel application of Bailey's lemma to derive character identities for superconformal models from nonunitary minimal models, including new Ramond sector formulas.

Findings

Derived character identities for N=1 superconformal models.

Connected N=2 superconformal models to nonunitary minimal models.

Presented a new Ramond sector character formula.

Abstract

Using the Bailey flow construction, we derive character identities for the N=1 superconformal models SM(p',2p+p') and SM(p',3p'-2p), and the N=2 superconformal model with central charge c=3(1-2p/p') from the nonunitary minimal models M(p,p'). A new Ramond sector character formula for representations of N=2 superconformal algebras with central element c=3(1-2p/p') is given.