Spin(7)-manifolds as generalized connected sums and 3d N=1 theories
M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N = 1 gauge theories coupled to gravity. We propose a new construction of such Spin(7)-manifolds, based on a generalized connected sum, where the building blocks are a Calabi-Yau four-fold and a...
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| Format: | Journal article |
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Springer
2018
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| _version_ | 1826298325210497024 |
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| author | Braun, A Schafer-Nameki, S |
| author_facet | Braun, A Schafer-Nameki, S |
| author_sort | Braun, A |
| collection | OXFORD |
| description | M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N = 1 gauge theories coupled to gravity. We propose a new construction of such Spin(7)-manifolds, based on a generalized connected sum, where the building blocks are a Calabi-Yau four-fold and a G2-holonomy manifold times a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a cylinder. The generalized connected sum construction is first exemplified for Joyce orbifolds, and is then used to construct examples of new compact manifolds with Spin(7)-holonomy. In instances when there is a K3-fibration of the Spin(7)-manifold, we test the spectra using duality to heterotic on a T3-fibered G2-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions. |
| first_indexed | 2024-03-07T04:45:06Z |
| format | Journal article |
| id | oxford-uuid:d2f907b7-caa3-41df-9eac-edae6313301b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:45:06Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d2f907b7-caa3-41df-9eac-edae6313301b2022-03-27T08:08:01ZSpin(7)-manifolds as generalized connected sums and 3d N=1 theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d2f907b7-caa3-41df-9eac-edae6313301bSymplectic Elements at OxfordSpringer2018Braun, ASchafer-Nameki, SM-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N = 1 gauge theories coupled to gravity. We propose a new construction of such Spin(7)-manifolds, based on a generalized connected sum, where the building blocks are a Calabi-Yau four-fold and a G2-holonomy manifold times a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a cylinder. The generalized connected sum construction is first exemplified for Joyce orbifolds, and is then used to construct examples of new compact manifolds with Spin(7)-holonomy. In instances when there is a K3-fibration of the Spin(7)-manifold, we test the spectra using duality to heterotic on a T3-fibered G2-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions. |
| spellingShingle | Braun, A Schafer-Nameki, S Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title | Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title_full | Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title_fullStr | Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title_full_unstemmed | Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title_short | Spin(7)-manifolds as generalized connected sums and 3d N=1 theories |
| title_sort | spin 7 manifolds as generalized connected sums and 3d n 1 theories |
| work_keys_str_mv | AT brauna spin7manifoldsasgeneralizedconnectedsumsand3dn1theories AT schafernamekis spin7manifoldsasgeneralizedconnectedsumsand3dn1theories |