The generalized Bergshoeff-de Roo identification II

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.

arXiv comment46 pages.v2 typo fixed

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• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• ${\alpha }^{\prime }$-corrections and their double formulation
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• Completing $R^4$ using $O(d,d)$
• The ${\alpha }^{\prime 2}$ correction from double field theory
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• String theory at order ${\alpha }^{\prime 2}$ and the generalized Bergshoeff-de Roo identification
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Duality covariant field redefinitions