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arXiv · 1803.04463

On a family of $\alpha'$-corrected solutions of the Heterotic Superstring effective action

Samuele Chimento·Patrick Meessen·Tomas Ortin·Pedro F. Ramirez·Alejandro Ruiperez
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Abstract

We compute explicitly the first-order in $\alpha'$ 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 $\mathrm{T}^{6}$. We show that some of the $\alpha'$ corrections can be cancelled by introducing solitonic $\mathrm{SU}(2)\times \mathrm{SU}(2)$ Yang-Mills fields, and that this family of $\alpha'$-corrected solutions is invariant under $\alpha'$-corrected T-duality transformations. We study in detail the mechanism that allows us to compute explicitly these $\alpha'$ corrections for the ansatz considered here, based on a generalization of the 't Hooft ansatz to hyperK\"ahler spaces.

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Samuele Chimento, Patrick Meessen, Tomas Ortin, Pedro F. Ramirez, Alejandro Ruiperez. 2018-03-12. On a family of $\alpha'$-corrected solutions of the Heterotic Superstring effective action. https://doi.org/10.1007/jhep07(2018)080

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