Abstract
In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the D = 10 ungauged maximal and half-maximal supersymmetric double field theories constructed previously within the so-called semi-covariant formalism. The twisting ansatz may not satisfy the section condition. Nonetheless, all the features of the semi-covariant formalism, including its complete covariantizability, are still valid after the twist under alternative consistency conditions. The twist allows gaugings as supersymmetry preserving deformations of the D = 10 untwisted theories after Scherk-Schwarz-type dimensional reductions. The maximal supersymmetric twist requires an extra condition to ensure both the Ramond-Ramond gauge symmetry and the 32 supersymmetries unbroken.
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Cho, W., Fernández-Melgarejo, J.J., Jeon, I. et al. Supersymmetric gauged double field theory: systematic derivation by virtue of twist. J. High Energ. Phys. 2015, 84 (2015). https://doi.org/10.1007/JHEP08(2015)084
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DOI: https://doi.org/10.1007/JHEP08(2015)084