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arXiv · 2104.09545

Supersymmetry, T-duality and Heterotic $\alpha'$-corrections

Eric Lescano·Carmen A. Núñez·Jesús A. Rodríguez
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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 ${\cal N}=1$ supergravity coupled to Yang-Mills with manifest T-duality symmetry to construct the first order $\alpha'$-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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Eric Lescano, Carmen A. Núñez, Jesús A. Rodríguez. 2021-04-19. Supersymmetry, T-duality and Heterotic $\alpha'$-corrections. https://doi.org/10.1007/jhep07(2021)092

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