MS Special Seminar

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]