Speaker: |
Hiraku Nakajima (Kyoto U) |
Title: |
Coulomb branches of 4d N=2 SUSY gauge theories for $ ⃥ mathbb R^3 >> ⃥ times S^1$ |
Date (JST): |
Mon, May 01, 2017, 13:15 - 14:30 |
Place: |
Seminar Room A |
Abstract: |
I gave a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories, as affine symplectic varieties in a joint work with Braverman and Finkelberg. This is based on the equivariant homology group of a certain infinite dimensional variety. We have a parallel definition by replacing homology by K-group. Gaiotto tells us that they should be Coulomb branches of 4d N=2 SUSY gauge theories for $ ⃥ mathbb R^3 ⃥ times S^1$ with a generic complex structure (among $S^2$ of complex structures). We cannot see this, but our definition at least give many interesting affine symplectic varieties, and various speculation on them. |
Seminar Video: |
[VIDEO] |