No mirror symmetry in Landau-Ginzburg spectra!

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 incomp...

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Detalles Bibliográficos
Autores principales: Kreuzer, Maximilian, Skarke, Harald
Lenguaje:eng
Publicado: 1992
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(92)90547-O
http://cds.cern.ch/record/236711
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author Kreuzer, Maximilian
Skarke, Harald
author_facet Kreuzer, Maximilian
Skarke, Harald
author_sort Kreuzer, Maximilian
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
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spelling cern-2367112020-07-23T02:45:16Zdoi:10.1016/0550-3213(92)90547-Ohttp://cds.cern.ch/record/236711engKreuzer, MaximilianSkarke, HaraldNo mirror symmetry in Landau-Ginzburg spectra!General Theoretical PhysicsWe 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.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.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. Suprisingly, 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.hep-th/9205004CERN-TH-6461-92TUW-92-06CERN-TH-6461-92TUW-92-06oai:cds.cern.ch:2367111992
spellingShingle General Theoretical Physics
Kreuzer, Maximilian
Skarke, Harald
No mirror symmetry in Landau-Ginzburg spectra!
title No mirror symmetry in Landau-Ginzburg spectra!
title_full No mirror symmetry in Landau-Ginzburg spectra!
title_fullStr No mirror symmetry in Landau-Ginzburg spectra!
title_full_unstemmed No mirror symmetry in Landau-Ginzburg spectra!
title_short No mirror symmetry in Landau-Ginzburg spectra!
title_sort no mirror symmetry in landau-ginzburg spectra!
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0550-3213(92)90547-O
http://cds.cern.ch/record/236711
work_keys_str_mv AT kreuzermaximilian nomirrorsymmetryinlandauginzburgspectra
AT skarkeharald nomirrorsymmetryinlandauginzburgspectra

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