The heterotic G2 system on contact Calabi--Yau 7-manifolds
We obtain non-trivial solutions to the heterotic G2 system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau 3-orbifolds. By adjusting the S1 fibres in proportion to a power of the string constant α′, we obtain a cocalibrated G2-structure the torsion of which real...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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American Mathematical Society
2023
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| _version_ | 1826310788142333952 |
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| author | Lotay, JD Earp, HNS |
| author_facet | Lotay, JD Earp, HNS |
| author_sort | Lotay, JD |
| collection | OXFORD |
| description | We obtain non-trivial solutions to the heterotic G2 system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau 3-orbifolds. By adjusting the S1 fibres in proportion to a power of the string constant α′, we obtain a cocalibrated G2-structure the torsion of which realises an arbitrary constant (trivial) dilaton field and an H-flux with nontrivial Chern--Simons defect. We find examples of connections on the tangent bundle and a non-flat G2-instanton induced from the horizontal Calabi--Yau metric which satisfy together the anomaly-free condition, also known as the heterotic Bianchi identity. The connections on the tangent bundle are G2-instantons up to higher order corrections in α′. |
| first_indexed | 2024-03-07T07:58:41Z |
| format | Journal article |
| id | oxford-uuid:2ff9d21d-72aa-4d10-bada-406ef10068dd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:58:41Z |
| publishDate | 2023 |
| publisher | American Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:2ff9d21d-72aa-4d10-bada-406ef10068dd2023-09-08T09:25:56ZThe heterotic G2 system on contact Calabi--Yau 7-manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2ff9d21d-72aa-4d10-bada-406ef10068ddEnglishSymplectic ElementsAmerican Mathematical Society2023Lotay, JDEarp, HNSWe obtain non-trivial solutions to the heterotic G2 system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau 3-orbifolds. By adjusting the S1 fibres in proportion to a power of the string constant α′, we obtain a cocalibrated G2-structure the torsion of which realises an arbitrary constant (trivial) dilaton field and an H-flux with nontrivial Chern--Simons defect. We find examples of connections on the tangent bundle and a non-flat G2-instanton induced from the horizontal Calabi--Yau metric which satisfy together the anomaly-free condition, also known as the heterotic Bianchi identity. The connections on the tangent bundle are G2-instantons up to higher order corrections in α′. |
| spellingShingle | Lotay, JD Earp, HNS The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title | The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title_full | The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title_fullStr | The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title_full_unstemmed | The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title_short | The heterotic G2 system on contact Calabi--Yau 7-manifolds |
| title_sort | heterotic g2 system on contact calabi yau 7 manifolds |
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