Instanton Calculus With R-R Background And Topological Strings
Marco Bill\'o

TL;DR
This paper explores how a graviphoton background in string theory deforms instanton moduli space, enabling exact calculations of non-perturbative effects in N=2 SYM and linking to topological string amplitudes.
Contribution
It demonstrates the role of RR backgrounds in instanton calculus and clarifies their connection to topological string theory within a string-theoretic framework.
Findings
Deformation of instanton moduli space by RR graviphoton background.
Exact multi-instanton contributions computed using localization.
Relation between deformed instanton effects and topological string amplitudes.
Abstract
The non-perturbative low energy effective action of N=2 SYM is studied within a microscopic string realization via D3/D-instanton systems. The localization deformation of instanton moduli space which has allowed the exact computation of multi-instanton contributions is, in this setting, due to a RR graviphoton background. The relation of deformed instanton contributions to topological string amplitudes on CY, argued by Nekrasov, appears quite natural in this framework. Based on arXiv:hep-th/0606013.
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