Abstract
HSZ Double Field Theory is a higher-derivative theory of gravity with exact and manifest T-duality symmetry. The first order corrections in the massless sector were shown to be governed solely by Chern-Simons deformations of the three-form field strength. We compute the full action with up to six derivatives \( \mathcal{O}\left({\alpha}^{\prime 2}\right) \) for the universal sector containing the metric, two-form and dilaton fields. The Green-Schwarz transformation of the two-form field remains uncorrected to second order. In addition to the expected Chern-Simons-squared and Riemann-cubed terms the theory contains a cubic Gauss-Bonnet interaction, plus other six-derivative unambiguous terms involving the three-form field strength whose presence indicates that the theory must contain further higher-derivative corrections.
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Lescano, E., Marqués, D. Second order higher-derivative corrections in Double Field Theory. J. High Energ. Phys. 2017, 104 (2017). https://doi.org/10.1007/JHEP06(2017)104
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DOI: https://doi.org/10.1007/JHEP06(2017)104