Abstract
We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.
Highlights
We recently introduced a T-duality covariant mechanism to compute all-order higher- derivative interactions in the heterotic string
There is a second approach in which the duality structure remains unmodified (namely the duality group is still the continuous O(D, D)), and higher-derivatives enter through deformations of the local symmetries
The idea is to start with an extended duality group O(D +p, D +q) as in the heterotic formulation of Double Field Theory (DFT) [37], and perform an O(D, D) decomposition along the lines of [38]
Summary
Our starting point is the gauged extension of DFT [37, 42] in the frame formulation [1, 2, 43,44,45,46]. The local symmetries include generalized diffeomorphisms and gauge symmetries in a duality covariant way generated by a G-vector ξ, in addition to the extended local Lorentz transformations with respect to a group H, parameterized by Γ in the adjoint of H. The consistency of these transformations requires the imposition of linear and quadratic constraints on the gaugings fMN P , fMN P = f[MN P] , f[MN KfP]KL = 0.
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