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T-duality and $\alpha'$-corrections
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abstract
We construct an $O(d,d)$ invariant universal formulation of the first-order $\alpha'$-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.
Forward citations
Cited by 4 Pith papers
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$\alpha'$-Bootstrap
An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.
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Generalized Bergshoeff-de Roo identification in the Supergravity frame
A new parametrization of the O(D,D+k) vielbein makes the generalized Bergshoeff–de Roo identification work directly in the supergravity frame, giving an all-order action whose O(α′^2) part has only three couplings.
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The non-relativistic limit of HSZ Theory
The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.
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Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences
Four-derivative and higher pure-gravitational α' corrections to bosonic supergravity admit a finite Carrollian limit, with an explicit action and a universal finiteness criterion for Riem^N terms.
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