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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2510.15130 |
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| _version_ | 1866909982496129024 |
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| author | Rodriguez, Jesus A. |
| author_facet | Rodriguez, Jesus A. |
| contents | 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 $\mathcal{O}(α')$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric $α'$-corrections to the Generalized Kerr-Schild Ansatz Rodriguez, Jesus A. High Energy Physics - Theory 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 $\mathcal{O}(α')$ 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. |
| title | Supersymmetric $α'$-corrections to the Generalized Kerr-Schild Ansatz |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.15130 |