Second order higher-derivative corrections in double field theory

DOI10.1007/JHEP06(2017)104zbMATH Open1380.83211arXiv1611.05031MaRDI QIDQ683217

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Publication date: 5 February 2018

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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 $calO(alph{a}^{\prime }{}^2)$ 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.

Full work available at URL: https://arxiv.org/abs/1611.05031

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