Abstract
We compute explicitly the first-order in α′ corrections to a family of solutions of the Heterotic Superstring effective action that describes fundamental strings with momentum along themselves, parallel to solitonic 5-branes with Kaluza-Klein monopoles (Gibbons-Hawking metrics) in their transverse space. These solutions correspond to 4-charge extremal black holes in 4 dimensions upon dimensional reduction on T6. We show that some of the α′ corrections can be cancelled by introducing solitonic SU(2) × SU(2) Yang-Mills fields, and that this family of α′-corrected solutions is invariant under α′-corrected T-duality transformations. We study in detail the mechanism that allows us to compute explicitly these α′ corrections for the ansatz considered here, based on a generalization of the ’t Hooft ansatz to hyperKähler spaces.
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Chimento, S., Meessen, P., Ortín, T. et al. On a family of α′-corrected solutions of the Heterotic Superstring effective action. J. High Energ. Phys. 2018, 80 (2018). https://doi.org/10.1007/JHEP07(2018)080
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DOI: https://doi.org/10.1007/JHEP07(2018)080