Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
Abstract
The Seiberg-Witten solution of N=2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants F_n measuring the n-instanton contribution to the prepotential F. Here we examine the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). In both the bosonic and supersymmetric cases, we determine both the large- and short-distance behavior of all the fields in this background. This allows us to construct the exact classical interaction between n ADHM (super-)instantons mediated by the adjoint Higgs. We calculate the one- and two-instanton contributions to the low-energy Seiberg-Witten effective action, and find precise agreement with their predicted values of F_1 and F_2.
Keywords
Cite
@article{arxiv.hep-th/9603136,
title = {Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory},
author = {N. Dorey and V. V. Khoze and M. P. Mattis},
journal= {arXiv preprint arXiv:hep-th/9603136},
year = {2016}
}
Comments
54 pages, uses harvmac.tex. This re-posted version contains a more complete introduction to the ADHM construction of multi-instantons