Supersymmetric α′-corrections to the generalized Kerr-Schild ansatz

A bstract We investigate the supersymmetric extension of the generalized Kerr-Schild ansatz (gKSA) in Double Field Theory (DFT) including first-order α ′ corrections. Supersymmetry plays a central role in constraining higher-derivative deformations, and in this work we focus on the structure of the $$\mathcal{O}(\alpha {\prime})$$ Killing Spinor Equations (KSEs). Starting from the α ′-corrected supersymmetry transformations of the fermionic fields, we derive the corresponding KSEs in DFT and analyze their behavior under the gKSA. The generalized Green-Schwarz transformations impose specific constraints on the perturbations that ensure the linearization of the α ′-corrected KSEs. We then provide the explicit parameterization of the results in terms of the ten-dimensional $$\mathcal{N}=1$$ supergravity fields. Our construction establishes a unified framework for exploring supersymmetric backgrounds in α ′-corrected DFT and offers new tools for generating higher-derivative supergravity solutions.