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

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.

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Author

Etesi, Gábor;
Hausel, Tamas

^{ISTA}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)00821-8Etesi, 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*. Elsevier. https://doi.org/10.1016/S0370-2693(01)00821-8Etesi, Gábor, and Tamás Hausel. “Geometric Construction of New Yang-Mills Instantons over Taub-NUT Space.”

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*. Elsevier, 2001. 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. Elsevier, pp. 189–199, 2001.Etesi, Gábor, and Tamás 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.**All files available under the following license(s):**

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