1204.2322 (Andrea Prudenziati)

Double genus expansion for general $Ω$ background    [PDF]

Andrea Prudenziati

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.

View original: http://arxiv.org/abs/1204.2322