English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We initiate the systematic study of $G_2$-instantons with $SU(2)^2$-symmetry.As well as developing foundational theory, we give existence, non-existence andclassification results for these instantons. We particularly focus on$\mathbb{R}^4\times S^3$ with its two explicitly known distinct holonomy $G_2$metrics, which have different volume growths at infinity, exhibiting thedifferent behaviour of instantons in these settings. We also give an explicitexample of sequences of $G_2$-instantons where "bubbling" and "removablesingularity" phenomena occur in the limit.

$SU(2)^2$-invariant $G_2$-instantons