Cubic curves from instanton counting
Cubic curves from instanton counting
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瞬时计数的三次曲线
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
S. Shadchin
中科院分区：
文献类型：
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作者：
S. Shadchin
我们研究了从Nekrasov方法得到的前势形式级数中提取Seiberg-Witten曲线的可能性。提出了一种求解Seiberg-Witten曲线非超椭圆模型的方法。它适用于具有一个对称或反对称表象的SU（N）模型以及具有（N1，N2）或（N1，2）双基本物质的SU（N1）× SU（N2）模型。解与已知结果进行了比较。对于规范群乘积，我们已经检查了从我们的曲线得出的瞬子修正，它与直接的瞬子计数计算相比较，直到两个瞬子。
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(N1) × SU(N2) model with (N1,N2) or (N1,2) bifundamental matter. Solution 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.