INSTANTONS AND RECURSION-RELATIONS IN N=2 SUSY GAUGE-THEORY

被引：294

作者：

MATONE, M

机构：

[1] Department of Physics G. Galilei - Istituto Nazionale di Fisica Nucleare, University of Pudova, 35131 Padova, Via Marzolo

来源：

PHYSICS LETTERS B | 1995年 / 357卷 / 03期

关键词：

D O I：

10.1016/0370-2693(95)00920-G

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We find the transformation properties of the prepotential F of N = 2 SUSY gauge theory with gauge group SU(2). Next we show that G(a) = pi i (F(a) -1/2 ad(a)F(a)) is modular invariant. We also show that u = G(a), so that F([phi]) = 1/pi i [tr phi(2)] + 1/2[phi][phi D]. This implies that G(a) satisfies the non-linear differential equation (1-G(2)) G '' + 1/4aG('3) = 0. We use this equation to derive recursion relations for the instanton contributions. These results can be extended to more general cases.

引用

页码：342 / 348

页数：7

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