On the complete classification of the unitary N=2 minimal superconformal field theories

OW Gray

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)

Abstract

Aiming at a complete classification of unitary N=2 minimal models (where the assumption of space-time supersymmetry has been dropped), it is shown that each modular invariant candidate of a partition function for such a theory is indeed the partition function of a minimal model. A family of models constructed via orbifoldings of either the diagonal model or of the space-time supersymmetric exceptional models demonstrates that there exists a unitary N=2 minimal model for every one of the allowed partition functions in the list obtained from Gannon's work. Kreuzer and Schellekens' conjecture that all simple current invariants can be obtained as orbifolds of the diagonal model, even when the extra assumption of higher-genus modular invariance is dropped, is confirmed in the case of the unitary N=2 minimal models by simple counting arguments.
Translated title of the contributionOn the complete classification of the unitary N=2 minimal superconformal field theories
Original languageEnglish
Pages (from-to)611-654
Number of pages44
JournalCommunications in Mathematical Physics
Volume312
Issue number3
DOIs
Publication statusPublished - 2012

Keywords

  • conformal field theory, N=2 minimal models, classification

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