New Conformal Models with $c<2/5$

TL;DR

This paper introduces new nonunitary two-dimensional conformal models with central charge less than 2/5, expanding the known landscape of conformal field theories through cosetting minimal models, some of which have novel spectra.

Contribution

It presents a series of new conformal models obtained by cosetting minimal models, including some with non-Kac spectra, enriching the classification of 2D conformal theories.

Findings

Some models coincide with known minimal models

Some models have non-Kac spectra of conformal dimensions

Expansion of the conformal model zoo with new nonunitary examples

Abstract

The zoo of two-dimensional conformal models has been supplemented by a series of nonunitary conformal models obtained by cosetting minimal models. Some of them coincide with minimal models, some do not have even Kac spectrum of conformal dimensions.