Supersymmetric N=2 gauge theory with arbitrary gauge group
arXiv:0907.2010 · doi:10.1016/j.nuclphysb.2010.05.011
Abstract
A new universal model to implement the Seiberg-Witten approach to low-energy properties of the supersymmetric N=2 gauge theory with an arbitrary compact simple gauge group, classical or exceptional, is suggested. It is based on the hyperelliptic curve, whose genus equals the rank of the gauge group. The weak and strong coupling limits are reproduced. The magnetic and electric charges of light dyons, which are present in the proposed model comply with recent predictions derived from the general properties of the theory. The discrete chiral symmetry is implemented, the duality condition is reproduced, and connections between monodromies at weak and strong coupling are established. It is found that the spectra of monopoles and dyons are greatly simplified when vectors representing the scalar and dual fields in the Cartan algebra are aligned along the Weyl vector. This general feature of the theory is used for an additional verification of the model. The model predicts the identical analytic structures of the coupling constants for the theories based on the SU(r+1) and Sp(2r) gauge groups.
39 pages, introduction is shortened, editing is employed, and section 10 is added in accord with the journal publication
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Cited by in corpus (5)
- Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups
- Weak Coupling Chambers in N=2 BPS Quiver Theory
- Mutation Symmetries in BPS Quiver Theories: Building the BPS Spectra
- Discrete symmetry in supersymmetric N=2 gauge theory
- Simple look at supersymmetric N=2 gauge theory with arbitrary gauge group