Abstract
Using the most general higher-derivative field redefinitions for the closed spacetime manifolds, we show that the tree-level couplings of the metric, B-field and dilaton at orders α′2 and α′3 that have been recently found by the T-duality, can be written in a particular scheme in terms of the torsional Riemann curvature \( \mathcal{R} \) and the torsion tensor H. The couplings at order α′2 have structures \( \mathcal{R} \)3, H2\( \mathcal{R} \)2, H6, and the couplings at order α′3 have only structures \( \mathcal{R} \)4, H2\( \mathcal{R} \)3. Replacing \( \mathcal{R} \) with the ordinary Riemann curvature, the couplings in the structure H2\( \mathcal{R} \)3 reproduce the couplings found in the literature by the S-matrix method.
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Garousi, M.R. Higher-derivative couplings and torsional Riemann curvature. J. High Energ. Phys. 2022, 139 (2022). https://doi.org/10.1007/JHEP12(2022)139
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DOI: https://doi.org/10.1007/JHEP12(2022)139