| Texto completo | |
| Autor(es): |
Stein, Jakob
;
Turner, Matt
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 67, n. 4, p. 23-pg., 2025-06-01. |
| Resumo | |
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) | |
| Processo FAPESP: | 23/02809-3 - G2-geometria singular, teoria de calibres e colapsos em codimensão 1 |
| Beneficiário: | Jacob Richard Stein |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 21/04065-6 - BRIDGES: interações França-Brasil em Teoria de Calibres, estruturas extremais e estabilidade |
| Beneficiário: | Henrique Nogueira de Sá Earp |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |