| Full text | |
| Author(s): |
Stein, Jakob
;
Turner, Matt
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 67, n. 4, p. 23-pg., 2025-06-01. |
| Abstract | |
Using co-homogeneity one symmetries, we construct a two-parameter family of non-abelian G2-instantons on every member of the asymptotically locally conical B7-family of G2-metrics on S3 x R4, and classify the resulting solutions. These solutions can be described as perturbations of a one-parameter family of abelian instantons, arising from the Killing vector-field generating the asymptotic circle fibre. Generically, these perturbations decay exponentially to themodel, butwe find a one-parameter family of instantons with polynomial decay. Moreover, we relate the two-parameter family to a lift of an explicit two-parameter family of anti-self-dual instantons on Taub-NUT R4, fibred over S3 in an adiabatic limit. (AU) | |
| FAPESP's process: | 23/02809-3 - Singular G2-geometry, gauge theory and co-dimension one collapse |
| Grantee: | Jacob Richard Stein |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 21/04065-6 - BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability |
| Grantee: | Henrique Nogueira de Sá Earp |
| Support Opportunities: | Research Projects - Thematic Grants |