2009/07/31 by M. Yu. Kuchiev, Michael Kuchiev · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge fixing #Gauge group #Gauge theory #Geography #Group (periodic table) #Hamiltonian lattice gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum gauge theory #Quantum mechanics #Supersymmetric gauge theory #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2010.05.011
published in Nuclear Physics B 838(3), 331-357 (Elsevier BV) · 39 pages, introduction is shortened, editing is employed, and section 10 is added in accord with the journal publication
openalex publication_date 2010/05/22 · arxiv created 2010/05/25 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.