No Mirror Symmetry in Landau-Ginzburg Spectra!

Preprint

2 May 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9205004

Abstract

We use a recent classification of non-degenerate quasihomogeneous polynomials to construct all Landau-Ginzburg (LG) potentials for N=2 superconformal field theories with c=9 and calculate the corresponding Hodge numbers. Surprisingly, the resulting spectra are less symmetric than the existing incomplete results. It turns out that models belonging to the large class for which an explicit construction of a mirror model as an orbifold is known show remarkable mirror symmetry. On the other hand, half of the remaining 15\% of all models have no mirror partners. This lack of mirror symmetry may point beyond the class of LG-orbifolds.

Keywords

RECENT CLASSIFICATION
GINZBURG SPECTRA
LANDAU GINZBURG
MIRROR SYMMETRY
NO MIRROR
ORBIFOLDS

All Related Versions

Version 1, 1992-05-02, ArXiv
Published version: Nuclear Physics B, 388 (1), 113.

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