The BPS spectra of gauge theories in two-dimensions and four-dimensions

Feb, 1999
46 pages
Published in:
  • JHEP 05 (1999) 006
e-Print:
Report number:
  • SWAT-217A,
  • UW-PT-99-04,
  • TIFR-TH-99-02

Citations per year

1999200520112017202302468
Abstract:
We study N=(2,2) supersymmetric abelian gauge theories in two dimensions. The exact BPS spectrum of these models is shown to coincide with the spectrum of massive hypermultiplets of certain N=2 supersymmetric gauge theories in four dimensions. A special case of these results involves a surprising connection between four-dimensional N=2 SQCD with N colours and N_{f}>N flavours at the root of the baryonic Higgs branch and the supersymmetric CP^{2N-N_{f}-1} sigma-model in two dimensions. This correspondence implies a new prediction for the strong-coupling spectrum of the four-dimensional theory.
  • gauge field theory: abelian
  • supersymmetry
  • dimension: 2
  • dimension: 4
  • spectrum: BPS
  • sigma model
  • field theoretical model: CP(N-1)
  • vacuum state: moduli space
  • central charge
  • soliton