Cubic curves from instanton counting

Sergey Shadchin
2006 Journal of High Energy Physics  
We investigate the possibility to extract Seiberg-Witten curves from the formal series for the prepotential, which was obtained by the Nekrasov approach. A method for models whose Seiberg-Witten curves are not hyperelliptic is proposed. It is applied to the SU(N) model with one symmetric or antisymmetric representations as well as for SU(N_1)xSU(N_2) model with (N_1,N_2) or (N_1,N̅_2) bifundamental matter. Solutions are compared with known results. For the gauge group product we have checked
more » ... instanton corrections which follow from our curves against direct instanton counting computations up to two instantons.
doi:10.1088/1126-6708/2006/03/046 fatcat:hlep3vzdrfgarfegghdcdrfase