A Note On ADE String Compactifications

Abstract

We address the question whether so-called m-invariants of the N=2 super Virasoro algebra can be used for the construction of reasonable four-dimensional string models. It turns out that an infinite subset of those are pathological in the sense that - although N=2 supersymmetric - the Ramond sector is not isomorphic to the Neveu-Schwarz sector. Consequently, these two properties are independent and only requiring both guarantees an N=1 space-time supersymmetric string spectrum. However, the remaining 529 consistent spectra - 210 of them are mirrors of Gepner models and 76 real orbifolds - show exact mirror symmetry and are contained in a recent classification of orbifolds of Gepner models.

11 pages, plain TeX, no postscript figures

References in corpus (9)

• A Generalized Construction of Mirror Manifolds
• Simple currents versus orbifolds with discrete torsion -- a complete classification
• Landau-Ginzburg String Vacua
• No Mirror Symmetry in Landau-Ginzburg Spectra!
• N=2 supersymmetric W-algebras
• Landau-Ginzburg orbifolds with discrete torsion
• ADE string vacua with discrete torsion
• A Note on Representations of N=2 SW-Algebras
• Generalized String Functions of N=1 Space-Time Supersymmetric String Vacua