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

被引：282
|
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.
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页码：342 / 348
页数：7
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