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All abelian symmetries of Landau-Ginzburg potentials

We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting...

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Detalles Bibliográficos
Autores principales: Kreuzer, Maximilian, Skarke, Harald
Lenguaje:eng
Publicado: 1993
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90549-5
http://cds.cern.ch/record/243617
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author Kreuzer, Maximilian
Skarke, Harald
author_facet Kreuzer, Maximilian
Skarke, Harald
author_sort Kreuzer, Maximilian
collection CERN
description We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau--Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund--H\"ubsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with $\ZZ_2$ torsions by including extra trivial fields.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-2436172020-07-23T02:46:06Zdoi:10.1016/0550-3213(93)90549-5http://cds.cern.ch/record/243617engKreuzer, MaximilianSkarke, HaraldAll abelian symmetries of Landau-Ginzburg potentialsParticle Physics - TheoryWe present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau--Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund--H\"ubsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with $\ZZ_2$ torsions by including extra trivial fields.We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for N=2 superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau--Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund--H\"ubsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with $\ZZ_2$--torsions by including extra trivial fields.We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau-Ginzburg potentials for N = 2 superconformal field theories with c = 9. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau-Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund-Hübsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with Z 2 torsions by including extra trivial fields.hep-th/9211047CERN-TH-6705-92ITP-UH-10-92CERN-TH-6705-92ITP-UH-92-10oai:cds.cern.ch:2436171993
spellingShingle Particle Physics - Theory
Kreuzer, Maximilian
Skarke, Harald
All abelian symmetries of Landau-Ginzburg potentials
title All abelian symmetries of Landau-Ginzburg potentials
title_full All abelian symmetries of Landau-Ginzburg potentials
title_fullStr All abelian symmetries of Landau-Ginzburg potentials
title_full_unstemmed All abelian symmetries of Landau-Ginzburg potentials
title_short All abelian symmetries of Landau-Ginzburg potentials
title_sort all abelian symmetries of landau-ginzburg potentials
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(93)90549-5
http://cds.cern.ch/record/243617
work_keys_str_mv AT kreuzermaximilian allabeliansymmetriesoflandauginzburgpotentials
AT skarkeharald allabeliansymmetriesoflandauginzburgpotentials