Limits of Yang–Mills α -connections

Casey Lynn Kelleher

doi:10.1007/s00526-019-1508-1

Limits of Yang–Mills α -connections

Casey Lynn Kelleher

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps (Lamm et al. in Limits of α-harmonic maps, 2015), we identify Yang–Mills connections obtained by approximations with respect to the Yang–Mills α-energy. More specifically, we show that for the SU(2) Hopf fibration over S ⁴ , for sufficiently small α values the SO(4) invariant ADHM instanton is the unique α-critical point which has Yang–Mills α-energy lower than a specific threshold.

Original language	English (US)
Article number	76
Journal	Calculus of Variations and Partial Differential Equations
Volume	58
Issue number	2
DOIs	https://doi.org/10.1007/s00526-019-1508-1
State	Published - Apr 1 2019

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/s00526-019-1508-1

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AB - In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps (Lamm et al. in Limits of α-harmonic maps, 2015), we identify Yang–Mills connections obtained by approximations with respect to the Yang–Mills α-energy. More specifically, we show that for the SU(2) Hopf fibration over S 4 , for sufficiently small α values the SO(4) invariant ADHM instanton is the unique α-critical point which has Yang–Mills α-energy lower than a specific threshold.

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Limits of Yang–Mills α -connections

Abstract

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