Stringy Instantons in SU(N) N=2 Non-Conformal Gauge Theories

TL;DR

This paper calculates stringy instanton corrections to the prepotential in SU(N) N=2 non-conformal gauge theories, revealing their dependence on symmetric polynomials and the string scale, both in flat space and with graviphoton background.

Contribution

It provides explicit formulas for stringy instanton corrections to the prepotential in non-conformal SU(N) N=2 theories, including effects of the string scale and graviphoton background.

Findings

Stringy instanton corrections are expressed via elementary symmetric polynomials.

Corrections depend explicitly on the string scale ' in non-conformal theories.

Results apply to flat space and backgrounds with graviphoton fields.

Abstract

In this paper we explicitly obtain the leading corrections to the SU(N) N=2 prepotential due to stringy instantons both in flat space-time and in the presence of a non-trivial graviphoton background field. We show that the stringy corrections to the prepotential are expressible in terms of the elementary symmetric polynomials. For N>2 the theory is not conformal; we discuss the introduction of an explicit dependence on the string scale \alpha' in the low-energy effective action through the stringy non-perturbative sector.