T-duality Constraints on Higher Derivatives Revisited

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

24 pages

References in corpus (5)

• Double Field Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic Effective Action and Duality Symmetries Revisited
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets

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