Lotay, JD;
Oliveira, G;
(2018)
SU(2)² -invariant G₂ -instantons.
Mathematische Annalen
, 371
(1-2)
pp. 961-1011.
10.1007/s00208-017-1636-x.
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Abstract
We initiate the systematic study of G₂-instantons with SU(2)² -symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on R⁴ x S³ with its two explicitly known distinct holonomy G₂ metrics, which have different volume growths at infinity, exhibiting the different behaviour of instantons in these settings. We alsogive an explicit example of sequences of G₂-instantons where “bubbling” and “removable singularity” phenomena occur in the limit.
| Type: | Article |
|---|---|
| Title: | SU(2)² -invariant G₂ -instantons |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00208-017-1636-x |
| Publisher version: | https://doi.org/10.1007/s00208-017-1636-x |
| Language: | English |
| Additional information: | © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1550203 |
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