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- Title
SU(2)2-Invariant Gauge Theory on Asymptotically Conical Calabi–Yau 3-Folds.
- Authors
Stein, Jakob
- Abstract
We give a complete description of the behaviour of Calabi–Yau instantons and monopoles with an S U (2) 2 -symmetry, on Calabi–Yau 3-folds with asymptotically conical geometry and S U (2) 2 acting with co-homogeneity one. We consider gauge theory on the smoothing and small resolution of the conifold, and on the canonical bundle of C P 1 × C P 1 , with their known asymptotically conical co-homogeneity one Calabi–Yau metrics, and find new one-parameter families of invariant instantons. We also entirely classify the relevant moduli-spaces of instantons and monopoles satisfying a natural curvature decay condition, and show that the expected bubbling phenomena occur in these families of instantons.
- Subjects
GAUGE field theory; CURVATURE; HOMOGENEITY; GEOMETRY; SYMMETRIC domains
- Publication
Journal of Geometric Analysis, 2023, Vol 33, Issue 4, p1
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-022-01168-8