T-duality constraints on higher derivatives revisited

DOI10.1007/JHEP04(2016)101zbMATH Open1388.81049arXiv1510.00005MaRDI QIDQ1638558

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Publication date: 12 June 2018

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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 $alph{a}^{\prime }$ corrections of the bosonic string, up to terms that vanish in one dimension. We also use the method to glean information about the $calO(alpha{\text{'}}^2)$ corrections in the double field theory with Green-Schwarz deformation.

Full work available at URL: https://arxiv.org/abs/1510.00005

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