On a family of -corrected solutions of the Heterotic Superstring effective action
Mar 12, 2018
25 pages
Published in:
- JHEP 07 (2018) 080
- Published: Jul 11, 2018
e-Print:
- 1803.04463 [hep-th]
Report number:
- FPAUO-18/03,
- IFT-UAM/CSIC-18-018,
- IFUM-1058-FT
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Abstract: (Springer)
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 T. 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.Note:
- v2: typos corrected, references added
- Black Holes in String Theory
- Superstrings and Heterotic Strings
- Superstring Vacua
- superstring: heterotic
- T-duality: transformation
- monopole: Kaluza-Klein
- space: transverse
- dimension: 4
- family
- effective action
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