Abstract
It has been shown by Marques and Nunez that the first α′-correction to the bosonic and heterotic string can be captured in the O(D, D) covariant formalism of Double Field Theory via a certain two-parameter deformation of the double Lorentz transformations. This deformation in turn leads to an infinite tower of α′-corrections and it has been suggested that they can be captured by a generalization of the Bergshoeff-de Roo identification between Lorentz and gauge degrees of freedom in an extended DFT formalism. Here we provide strong evidence that this indeed gives the correct α′2-corrections to the bosonic and heterotic string by showing that it leads to a cubic Riemann term for the former but not for the latter, in agreement with the known structure of these corrections including the coefficient of Riemann cubed.
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Hronek, S., Wulff, L. String theory at order α′2 and the generalized Bergshoeff-de Roo identification. J. High Energ. Phys. 2021, 186 (2021). https://doi.org/10.1007/JHEP11(2021)186
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DOI: https://doi.org/10.1007/JHEP11(2021)186