---
_id: '1453'
abstract:
- lang: eng
text: 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.
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.
author:
- first_name: Gábor
full_name: Etesi, Gábor
last_name: Etesi
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
citation:
ama: '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'
apa: '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*. Elsevier. https://doi.org/10.1016/S0370-2693(01)00821-8'
chicago: '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*. Elsevier, 2001. https://doi.org/10.1016/S0370-2693(01)00821-8.'
ieee: '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.'
ista: '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.'
mla: '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.'
short: 'G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle
and High-Energy Physics 514 (2001) 189–199.'
date_created: 2018-12-11T11:52:07Z
date_published: 2001-08-09T00:00:00Z
date_updated: 2021-01-12T06:50:51Z
day: '09'
doi: 10.1016/S0370-2693(01)00821-8
extern: 1
intvolume: ' 514'
issue: 1-2
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/hep-th/0105118
month: '08'
oa: 1
page: 189 - 199
publication: 'Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy
Physics'
publication_status: published
publisher: Elsevier
publist_id: '5743'
quality_controlled: 0
status: public
title: Geometric construction of new Yang-Mills instantons over Taub-NUT space
type: journal_article
volume: 514
year: '2001'
...