Freezing of gauge symmetries in the heterotic string on T 4
Abstract We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and M-theory, respectively. The novel...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2022)007 |
| _version_ | 1827985373765042176 |
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| author | Bernardo Fraiman Héctor Parra De Freitas |
| author_facet | Bernardo Fraiman Héctor Parra De Freitas |
| author_sort | Bernardo Fraiman |
| collection | DOAJ |
| description | Abstract We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and M-theory, respectively. The novel feature in six dimensions is that the map explicitly involves the topology of the gauge groups, in particular acting only on non-simply-connected ones. This relation is equivalent to that of connected components of the moduli space of flat G-bundles over T 2 with G non-simply-connected. These results are verified with a reasonably exhaustive list of gauge groups obtained with a moduli space exploration algorithm. |
| first_indexed | 2024-04-09T23:13:51Z |
| format | Article |
| id | doaj.art-27376beff9cc4b48856ba58c136490f8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:51Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-27376beff9cc4b48856ba58c136490f82023-03-22T10:11:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022412210.1007/JHEP04(2022)007Freezing of gauge symmetries in the heterotic string on T 4Bernardo Fraiman0Héctor Parra De Freitas1Institut de Physique Théorique, Université Paris Saclay, CEA, CNRSInstitut de Physique Théorique, Université Paris Saclay, CEA, CNRSAbstract We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and M-theory, respectively. The novel feature in six dimensions is that the map explicitly involves the topology of the gauge groups, in particular acting only on non-simply-connected ones. This relation is equivalent to that of connected components of the moduli space of flat G-bundles over T 2 with G non-simply-connected. These results are verified with a reasonably exhaustive list of gauge groups obtained with a moduli space exploration algorithm.https://doi.org/10.1007/JHEP04(2022)007Gauge SymmetrySuperstring VacuaSuperstrings and Heterotic Strings |
| spellingShingle | Bernardo Fraiman Héctor Parra De Freitas Freezing of gauge symmetries in the heterotic string on T 4 Journal of High Energy Physics Gauge Symmetry Superstring Vacua Superstrings and Heterotic Strings |
| title | Freezing of gauge symmetries in the heterotic string on T 4 |
| title_full | Freezing of gauge symmetries in the heterotic string on T 4 |
| title_fullStr | Freezing of gauge symmetries in the heterotic string on T 4 |
| title_full_unstemmed | Freezing of gauge symmetries in the heterotic string on T 4 |
| title_short | Freezing of gauge symmetries in the heterotic string on T 4 |
| title_sort | freezing of gauge symmetries in the heterotic string on t 4 |
| topic | Gauge Symmetry Superstring Vacua Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP04(2022)007 |
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