Double genus expansion for general $Ω$ background

Details Double genus expansion for general $Ω$ background Double genus expansion for general $Ω$ background

2012-04-11

arxiv.org/abs/1204.2322v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 10 figures

Scientific paper

I will show how the holomorphic anomaly equation obeyed by the Nekrasov partition function at general $\epsilon_1,\epsilon_2$ values becomes compatible, in a certain two parameters expansion, with the assumption that both parameters are associated to genus counting. The underlying worldsheet theory will be analysed and constrained in various ways, and I will provide both physical interpretation and some alternative evidence for this model. Finally I will use the Gopakumar - Vafa formulation for the refined topological string in order to give a more quantitative description.

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