| Texto completo | |
| Autor(es): |
Lotay, Jason D.
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY SERIES B; v. 10, p. 37-pg., 2023-07-12. |
| Resumo | |
We obtain non-trivial approximate solutions to the heterotic G2 system on the total spaces of non-trivial circle bundles over Calabi-Yau 3-orbifolds, which satisfy the equations up to an arbitrarily small error, by adjusting the size of the S1 fibres in proportion to a power of the string constant cap. Each approximate solution provides a cocalibrated G2-structure, the torsion of which realises a non-trivial scalar field, a constant (trivial) dilaton field and an H-flux with non-trivial Chern-Simons defect. The approximate solutions also include a connection on the tangent bundle which, together with a non-flat G2-instanton induced from the horizontal Calabi-Yau metric, satisfy the anomaly-free condition, also known as the heterotic Bianchi identity. The approximate solutions fail to be genuine solutions solely because the connections on the tangent bundle are only G2-instantons up to higher order corrections in cap. (AU) | |
| Processo FAPESP: | 17/20007-0 - Teoria de calibres e estruturas geométricas em dimensão 7 |
| Beneficiário: | Henrique Nogueira de Sá Earp |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 18/21391-1 - Teoria de calibre e geometria algébrica |
| Beneficiário: | Marcos Benevenuto Jardim |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |