The Odd story of α'-corrections

The alpha'-deformed frame alpha'-like Double Field Theory (DFT) is a T-duality and gauge invariant extension of DFT in which generalized Green-Schwarz transformations provide a gauge principle that fixes the higher-derivative corrections. It includes all the first order alpha'-corrections of the bosonic and heterotic string low energy effective actions and of the Hohm-Siegel-Zwiebach alpha'-geometry. Here we gauge this theory and parameterize it in terms of a frame, a two alpha'-form, a dilaton, gauge vectors and scalar fields. This leads to a unified framework that extends the previous construction by including all duality constrained interactions in generic (gauged/super)gravity effective field theories in arbitrary number of dimensions, to first order in alpha'.