The heterotic G$_2$ system with reducible characteristic holonomy
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912882201985024 |
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| author | Galdeano, Mateo Stecker, Leander |
| author_facet | Galdeano, Mateo Stecker, Leander |
| contents | We construct solutions to the heterotic G$_2$ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on $3$-$(α,δ)$-Sasaki manifolds and $(α,δ)$-Sasaki manifolds, the latter being a convenient reformulation of spin $η$-Einstein $α$-Sasaki manifolds. Investigating a $1$-parameter family of G$_2$-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate $3$-$(α,δ)$-Sasaki manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The heterotic G$_2$ system with reducible characteristic holonomy Galdeano, Mateo Stecker, Leander Differential Geometry High Energy Physics - Theory 53C10, 53C25, 83E30 (Primary) 53C07, 53C15, 53D10 (Secondary) We construct solutions to the heterotic G$_2$ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on $3$-$(α,δ)$-Sasaki manifolds and $(α,δ)$-Sasaki manifolds, the latter being a convenient reformulation of spin $η$-Einstein $α$-Sasaki manifolds. Investigating a $1$-parameter family of G$_2$-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate $3$-$(α,δ)$-Sasaki manifolds. |
| title | The heterotic G$_2$ system with reducible characteristic holonomy |
| topic | Differential Geometry High Energy Physics - Theory 53C10, 53C25, 83E30 (Primary) 53C07, 53C15, 53D10 (Secondary) |
| url | https://arxiv.org/abs/2403.00084 |