The Kapustin–Witten equations on ALE and ALF gravitational instantons

We study solutions to the Kapustin–Witten equations on ALE and ALF gravitational instantons. On any such space and for any compact structure group, we prove asymptotic estimates for the Higgs field. We then use it to prove a vanishing theorem in the case when the underlying manifold is R 4 or R 3 ×...

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Veröffentlicht in:	Letters in mathematical physics 2021-08, Vol.111 (4), Article 87
Hauptverfasser:	Nagy, Ákos, Oliveira, Gonçalo
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex Systems Geometry Group Theory and Generalizations Instantons Mathematical analysis Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study solutions to the Kapustin–Witten equations on ALE and ALF gravitational instantons. On any such space and for any compact structure group, we prove asymptotic estimates for the Higgs field. We then use it to prove a vanishing theorem in the case when the underlying manifold is R 4 or R 3 × S 1 and the structure group is SU ( 2 ) .
ISSN:	0377-9017 1573-0530
DOI:	10.1007/s11005-021-01426-w