Abstract
We ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which the bosonic string action takes a Gauss-Bonnet-type form. By analyzing all field redefinitions that may or may not be duality covariant and may or may not be gauge covariant we extend the procedure to test T-duality starting from an action expressed in arbitrary field variables. We illustrate the method by showing that it determines uniquely the first-order α′ corrections of the bosonic string, up to terms that vanish in one dimension. We also use the method to glean information about the \( \mathcal{O}\left({\alpha}^{\prime 2}\right) \) corrections in the double field theory with Green-Schwarz deformation.
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ArXiv ePrint: 1510.00005
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Hohm, O., Zwiebach, B. T-duality constraints on higher derivatives revisited. J. High Energ. Phys. 2016, 101 (2016). https://doi.org/10.1007/JHEP04(2016)101
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DOI: https://doi.org/10.1007/JHEP04(2016)101