Cubic curves from instanton counting
High Energy Physics - Theory
2009-11-11 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0511132,
title = {Cubic curves from instanton counting},
author = {Sergey Shadchin},
journal= {arXiv preprint arXiv:hep-th/0511132},
year = {2009}
}
Comments
30 pages, v2. typos fixed, referenced added