Abstract
We construct an O(d, d) invariant universal formulation of the first-order α′-corrections of the string effective actions involving the dilaton, metric and two-form fields. Two free parameters interpolate between four-derivative terms that are even and odd with respect to a Z 2-parity transformation that changes the sign of the two-form field. The Z 2-symmetric model reproduces the closed bosonic string, and the heterotic string effective action is obtained through a Z 2-parity-breaking choice of parameters. The theory is an extension of the generalized frame formulation of Double Field Theory, in which the gauge transformations are deformed by a first-order generalized Green-Schwarz transformation. This deformation defines a duality covariant gauge principle that requires and fixes the four-derivative terms. We discuss the O(d, d) structure of the theory and the (non-)covariance of the required field redefinitions.
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Marqués, D., Nuñez, C.A. T-duality and α′-corrections. J. High Energ. Phys. 2015, 84 (2015). https://doi.org/10.1007/JHEP10(2015)084
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DOI: https://doi.org/10.1007/JHEP10(2015)084