Volume 137, Number 3, February 2022
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||19 April 2022|
Yang-Mills instantons in an asymptotically locally flat background: Taub-NUT vs. Taub-Bolt
Departamento de Matemática da Universidade de Aveiro and Centre for Research and Development in Mathematics and Applications (CIDMA) - Campus de Santiago, 3810-183 Aveiro, Portugal
Received: 25 October 2021
Accepted: 9 February 2022
We present arguments for the existence of a one-parameter family of self-dual Yang-Mills instantons in the background of Taub-NUT and Taub-Bolt spaces. These solutions are finite everywhere and generically carry a non-integer Pontryagin charge. The Taub-NUT space configurations can be considered as interpolating (when varying the NUT parameter) between the Prasad-Sommerfield and BPST instantons.
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