Kodaira-Spencer theory for flux backgrounds
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914514540167168 |
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| author | Jonker, Caleb Kupka, Julian Saberi, Ingmar Strickland-Constable, Charles Valach, Fridrich |
| author_facet | Jonker, Caleb Kupka, Julian Saberi, Ingmar Strickland-Constable, Charles Valach, Fridrich |
| contents | We give an explicit description (in component fields) of a holomorphic theory associated to a general supersymmetric background of $\mathcal N=1$ supergravity in ten dimensions. Conjecturally, this provides a sought-for holomorphic realisation of the supergravity twist in such backgrounds, generalising the minimal type I BCOV theory for Calabi-Yau manifolds. Our theory unpacks the recently introduced Courant contact model associated to a holomorphic Courant algebroid. We also show that a coisotropic reduction of this model reproduces the recent model of ref [1], which is formulated in terms of constrained fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25803 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kodaira-Spencer theory for flux backgrounds Jonker, Caleb Kupka, Julian Saberi, Ingmar Strickland-Constable, Charles Valach, Fridrich High Energy Physics - Theory Mathematical Physics We give an explicit description (in component fields) of a holomorphic theory associated to a general supersymmetric background of $\mathcal N=1$ supergravity in ten dimensions. Conjecturally, this provides a sought-for holomorphic realisation of the supergravity twist in such backgrounds, generalising the minimal type I BCOV theory for Calabi-Yau manifolds. Our theory unpacks the recently introduced Courant contact model associated to a holomorphic Courant algebroid. We also show that a coisotropic reduction of this model reproduces the recent model of ref [1], which is formulated in terms of constrained fields. |
| title | Kodaira-Spencer theory for flux backgrounds |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.25803 |