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Results tagged with gauge-theory
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user 3377
Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.
5
votes
Accepted
Hyperkähler structure of framed instantons over $\smash{\overline{\mathbb{C}P}}^2$
When our hyperkähler 4-fold is no longer compact, is its
instantons moduli space (maybe with some constraint about
decaying condition) still hyperkähler?
The "decay constraint" condition is called " …
- 9,237
4
votes
Non simply connected HyperKähler 4-manifolds without ALE metrics
"Peter Kronheimer showed that each simply connected HyperKähler 4-manifold possesses an ALE metric."
This is false as stated. K3 surface, or the Taub-NUT space, are simply connected 4-manifolds which …
- 9,237
1
vote
1
answer
285
views
compact manifold as a hyperkahler quotient of an infinite-dimensional affine space
Is it possible to obtain K3 (or any other compact
hyperkahler manifold) with its hyperkahler structure
as a hyperkahler quotient of an infinite-dimensional affine
quaternionic vector space with an a …
- 9,237