Improved matrix-model calculation of the N=2 prepotential
M. Gomez-Reino, S. G. Naculich, and H. J. Schnitzer
TL;DR
This paper derives a matrix-model based formula for calculating instanton contributions to the prepotential in N=2 supersymmetric U(N) gauge theories, enabling systematic evaluation of quantum corrections.
Contribution
It introduces a novel matrix-model expression for the instanton sum in N=2 gauge theories, combining renormalization-group and matrix-model techniques.
Findings
Derived a matrix-model expression for instanton contributions
Showed the one-instanton prepotential has a universal form
Facilitated order-by-order evaluation of quantum corrections
Abstract
We present a matrix-model expression for the sum of instanton contributions to the prepotential of an N=2 supersymmetric U(N) gauge theory, with matter in various representations. This expression is derived by combining the renormalization-group approach to the gauge theory prepotential with matrix-model methods. This result can be evaluated order-by-order in matrix-model perturbation theory to obtain the instanton corrections to the prepotential. We also show, using this expression, that the one-instanton prepotential assumes a universal form.
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