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arXiv · 2604.25803

Kodaira-Spencer theory for flux backgrounds

Caleb Jonker·Julian Kupka·Ingmar Saberi·Charles Strickland-Constable·Fridrich Valach
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Abstract

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.

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Caleb Jonker, Julian Kupka, Ingmar Saberi, Charles Strickland-Constable, Fridrich Valach. 2026-04-28. Kodaira-Spencer theory for flux backgrounds. https://arxiv.org/abs/2604.25803

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