Cubic curves from instanton counting

Details Cubic curves from instanton counting Cubic curves from instanton counting

2005-11-11

arxiv.org/abs/hep-th/0511132v2

JHEP0603:046,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, v2. typos fixed, referenced added

Scientific paper

10.1088/1126-6708/2006/03/046

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,\bar{N}_2) bifundamental matter. Solutions are compared with known results. For the gauge group product we have checked the instanton corrections which follow from our curves against direct instanton counting computations up to two instantons.

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