Abstract
Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten dimensional \( \mathcal{N} \) = 1 supergravity coupled to Yang-Mills with manifest T-duality symmetry to construct the first order α′-corrections of the heterotic string effective action. The theory contains a supersymmetric and T-duality covariant generalization of the Green-Schwarz mechanism that determines the modifications to the leading order supersymmetry transformation rules of the fields. We compute the resulting field-dependent deformations of the coefficients in the supersymmetry algebra and construct the invariant action, with up to and including four-derivative terms of all the massless bosonic and fermionic fields of the heterotic string spectrum.
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Lescano, E., Núñez, C.A. & Rodríguez, J.A. Supersymmetry, T-duality and heterotic α′-corrections. J. High Energ. Phys. 2021, 92 (2021). https://doi.org/10.1007/JHEP07(2021)092
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DOI: https://doi.org/10.1007/JHEP07(2021)092