Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants
Presenter
November 18, 2014
Keywords:
- supersymmetry
- Higgs branch
- Coulomb branch
- hyperkahler
- monopole formula
- quantum field theory
MSC:
- 81T60
- 81Txx
- 81T45
- 81T30
- 81T13
- 81T10
- 58Dxx
- 14J32
- 14J33
Abstract
Cremonesi, Hanany and others recently compute Coulomb branch Hilbert series of 3-dimensional N=4 gauge theories, and write down explicit combinatorial expressions. I identify their expressions with certain motivic DT-type invariants, defined by moduli stack of bundles over the projective line together with their sections. In particular, characters of coordinate rings of many hyper-Kaehler manifolds (such as instanton moduli spaces on R^4) are conjecturally equal to those invariants.