Conway subgroup symmetric compactifications redux
Abstract We extend the investigation in [1] of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and find that they are all linked to either F-theor...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)142 |
| _version_ | 1818356754228969472 |
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| author | Zihni Kaan Baykara Jeffrey A. Harvey |
| author_facet | Zihni Kaan Baykara Jeffrey A. Harvey |
| author_sort | Zihni Kaan Baykara |
| collection | DOAJ |
| description | Abstract We extend the investigation in [1] of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and find that they are all linked to either F-theory or type IIA string theory on K3 surfaces with symplectic automorphism groups that are the same Conway subgroups as those of the heterotic dual. The matching with type IIA K3 dual theories includes both the matching of symmetry groups and a comparison between the Narain lattice on the heterotic side and the cohomology lattice on the type IIA side. We present twelve examples where we can identify a type IIA dual K3 orbifold theory as the dual description of the heterotic theory. In addition, we include a supplementary Mathematica package that performs most of the computations required for these comparisons. |
| first_indexed | 2024-12-13T20:02:14Z |
| format | Article |
| id | doaj.art-7ccdb0e92960404985a6e728614f8998 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T20:02:14Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7ccdb0e92960404985a6e728614f89982022-12-21T23:33:08ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022312810.1007/JHEP03(2022)142Conway subgroup symmetric compactifications reduxZihni Kaan Baykara0Jeffrey A. Harvey1Enrico Fermi Institute and Department of Physics, University of ChicagoEnrico Fermi Institute and Department of Physics, University of ChicagoAbstract We extend the investigation in [1] of special toroidal compactifications of heterotic string theory for which the half-BPS states provide representations of subgroups of the Conway group. We also explore dual descriptions of these theories and find that they are all linked to either F-theory or type IIA string theory on K3 surfaces with symplectic automorphism groups that are the same Conway subgroups as those of the heterotic dual. The matching with type IIA K3 dual theories includes both the matching of symmetry groups and a comparison between the Narain lattice on the heterotic side and the cohomology lattice on the type IIA side. We present twelve examples where we can identify a type IIA dual K3 orbifold theory as the dual description of the heterotic theory. In addition, we include a supplementary Mathematica package that performs most of the computations required for these comparisons.https://doi.org/10.1007/JHEP03(2022)142Discrete SymmetriesSuperstrings and Heterotic StringsSupersymmetry and Duality |
| spellingShingle | Zihni Kaan Baykara Jeffrey A. Harvey Conway subgroup symmetric compactifications redux Journal of High Energy Physics Discrete Symmetries Superstrings and Heterotic Strings Supersymmetry and Duality |
| title | Conway subgroup symmetric compactifications redux |
| title_full | Conway subgroup symmetric compactifications redux |
| title_fullStr | Conway subgroup symmetric compactifications redux |
| title_full_unstemmed | Conway subgroup symmetric compactifications redux |
| title_short | Conway subgroup symmetric compactifications redux |
| title_sort | conway subgroup symmetric compactifications redux |
| topic | Discrete Symmetries Superstrings and Heterotic Strings Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP03(2022)142 |
| work_keys_str_mv | AT zihnikaanbaykara conwaysubgroupsymmetriccompactificationsredux AT jeffreyaharvey conwaysubgroupsymmetriccompactificationsredux |