Skip to main content

K-theoretic Coulomb branches of gauge theories

Posted in
Speaker: 
Hiraku Nakajima
Affiliation: 
IMPU Tokyo
Date: 
Thu, 2019-08-01 11:30 - 12:30
Location: 
MPIM Lecture Hall

We replace equivariant homology groups by equivariant $K$-group in the mathematical definition of $3d$ $\mathcal{N}=4$ SUSY gauge theories, and define K-theoretic Coulomb branches. Gaiotto conjectures that they are Coulomb branches of $4d$ $\mathcal{N}=2$ SUSY gauge theories over $\mathbb{R}^3 \times \mathbb{S}^1$ with a generic complex structure among $\mathbb{S}^2$ of complex structures of an expected hyperk\"ahler structure. Many properties are in parallel with homology version, but we expect several new features such as cluster algebra structures.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A