SU(2)[Formula: see text] -invariant [Formula: see text] -instantons

We initiate the systematic study of [Formula: see text] -instantons with SU(2)[Formula: see text] -symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on [Formula: see text] with its two explicit...

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Detalles Bibliográficos
Autores principales: Lotay, Jason D., Oliveira, Goncalo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6560731/
https://www.ncbi.nlm.nih.gov/pubmed/31258184
http://dx.doi.org/10.1007/s00208-017-1636-x
Descripción
Sumario:We initiate the systematic study of [Formula: see text] -instantons with SU(2)[Formula: see text] -symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on [Formula: see text] with its two explicitly known distinct holonomy [Formula: see text] metrics, which have different volume growths at infinity, exhibiting the different behaviour of instantons in these settings. We also give an explicit example of sequences of [Formula: see text] -instantons where “bubbling” and “removable singularity” phenomena occur in the limit.

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