Abstract
We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in \( \mathcal{N} \) = 2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure spinors and fluxes in the internal space. This provides a way to look for lifts of BPS solutions without having to reduce or even rewrite the ten-dimensional action. In particular this avoids the problem of consistent truncation, and the introduction of unphysical gravitino multiplets.
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Rosa, D., Tomasiello, A. Pure spinor equations to lift gauged supergravity. J. High Energ. Phys. 2014, 176 (2014). https://doi.org/10.1007/JHEP01(2014)176
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DOI: https://doi.org/10.1007/JHEP01(2014)176