G₂-instantons on the ALC members of the B7 family

Autor(es)

Stein, Jakob ; Turner, Matt

• 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