Geometric construction of new Yang-Mills instantons over Taub-NUT space

G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 514 (2001) 189–199.


Journal Article | Published
Author
Etesi, Gábor; Hausel, TamasIST Austria
Abstract
In this Letter we exhibit a one-parameter family of new Taub-NUT instantons parameterized by a half-line. The endpoint of the half-line will be the reducible Yang-Mills instanton corresponding to the Eguchi-Hanson-Gibbons L2 harmonic 2-form, while at an inner point we recover the Pope-Yuille instanton constructed as a projection of the Levi-Civitá connection onto the positive su(2)+ ⊂ so(4) subalgebra. Our method imitates the Jackiw-Nohl-Rebbi construction originally designed for flat R4. That is we find a one-parameter family of harmonic functions on the Taub-NUT space with a point singularity, rescale the metric and project the obtained Levi-Civitá connection onto the other negative su(2)- ⊂ so(4) part. Our solutions will possess the full U(2) symmetry, and thus provide more solutions to the recently proposed U(2) symmetric ansatz of Kim and Yoon.
Publishing Year
Date Published
2001-08-09
Journal Title
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Acknowledgement
We would like to acknowledge the financial support provided by the Miller Institute of Basic Research in Science, the Japan Society for the Promotion of Science, grant No. P99736 and the partial support by OTKA grant No. T032478.
Volume
514
Issue
1-2
Page
189 - 199
IST-REx-ID

Cite this

Etesi G, Hausel T. Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2001;514(1-2):189-199. doi:10.1016/S0370-2693(01)00821-8
Etesi, G., & Hausel, T. (2001). Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 514(1–2), 189–199. https://doi.org/10.1016/S0370-2693(01)00821-8
Etesi, Gábor, and Tamas Hausel. “Geometric Construction of New Yang-Mills Instantons over Taub-NUT Space.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 514, no. 1–2 (2001): 189–99. https://doi.org/10.1016/S0370-2693(01)00821-8.
G. Etesi and T. Hausel, “Geometric construction of new Yang-Mills instantons over Taub-NUT space,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 514, no. 1–2, pp. 189–199, 2001.
Etesi G, Hausel T. 2001. Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 514(1–2), 189–199.
Etesi, Gábor, and Tamas Hausel. “Geometric Construction of New Yang-Mills Instantons over Taub-NUT Space.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 514, no. 1–2, Elsevier, 2001, pp. 189–99, doi:10.1016/S0370-2693(01)00821-8.
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