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arXiv · 1611.05031

Second order higher-derivative corrections in Double Field Theory

Eric Lescano·Diego Marques
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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 ${\cal O} (α'{}^2)$ 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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Eric Lescano, Diego Marques. 2016-12-22. Second order higher-derivative corrections in Double Field Theory. https://doi.org/10.1007/jhep06(2017)104

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