The BPS spectra of gauge theories in two-dimensions and four-dimensions
Feb, 1999
46 pages
Published in:
- JHEP 05 (1999) 006
e-Print:
- hep-th/9902134 [hep-th]
Report number:
- SWAT-217A,
- UW-PT-99-04,
- TIFR-TH-99-02
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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
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