Instantons on multi-Taub-NUT Spaces II: Bow Construction

Autor:	Cherkis, Sergey, Larraín-Hubach, Andrés, Stern, Mark
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry High Energy Physics - Theory 53C26 53D20
Druh dokumentu:	Working Paper
Popis:	Unitary anti-self-dual connections on Asymptotically Locally Flat (ALF) hyperk\"ahler spaces are constructed in terms of data organized in a bow. Bows generalize quivers, and the relevant bow gives rise to the underlying ALF space as the moduli space of its particular representation -- the small representation. Any other representation of that bow gives rise to anti-self-dual connections on that ALF space. We prove that each resulting connection has finite action, i.e. it is an instanton. Moreover, we derive the asymptotic form of such a connection and compute its topological class. Comment: 65 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.12754 Zobrazit plný text záznamu View this record from Arxiv