1992/05/02 by Maximilian Kreuzer, Harald Skarke · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1016/0550-3213(92)90547-o
published as Nucl.Phys. B388 (1992) 113-130 · 17 pages
arxiv created 1992/05/02 · openalex publication_date 1992/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.