Videos

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.
Supplementary Materials