Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-18
Mod.Phys.Lett. A15 (2000) 1767-1780
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, Latex
Scientific paper
10.1142/S0217732300001638
Using a geometric realization of the $SU(2)_R$ symmetry and a procedure of factorisation of the gauge and $SU(2)_R$ charges, we study the small instanton singularities of the Higgs branch of supersymmetric $U(1)^r$ gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges. In particular, we obtain an extension of the ordinary ADE singularities for hyperKahler manifolds and show that the classical moduli space of vacua is in general given by cotangent bundles of compact weighted projective spaces.
Belhaj Adil
Saidi El Hassan
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