Coulomb branches of 3-dimensional N=4 gauge theories
1 hour 3 mins,
928.24 MB,
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About this item
| Description: |
Nakajima, H (Kyoto University)
Wednesday 29 July 2015, 10:00-11:00 |
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| Created: | 2015-08-04 17:42 |
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| Collection: | Metric and Analytic Aspects of Moduli Spaces |
| Publisher: | Isaac Newton Institute |
| Copyright: | Nakajima, H |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Let M be a quaternionic representation of a compact Lie group G. Physicists study the Coulomb branch of the 3-dimensional supersymmetric gauge theory associated with (G,M), which is a hyper-Kaehler manifold, but have no rigorous mathematical definition. When M is of a form N\oplus N^*, we introduce a variant of the affine Grassmannian Steinberg variety, define convolution product on its equivariant Borel-Moore homology group, and show that it is commutative. We propose that it gives a mathematical definition of the coordinate ring of the Coulomb branch. If time permits, we will discuss examples arising from quiver gauge theories. |
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