Open/closed topological $ \mathbb{C}{\mathbb{P}^{{1}}} $ sigma model revisited

@article{Elitzur2011OpenclosedT,
  title={Open/closed topological \$ \mathbb\{C\}\{\mathbb\{P\}^\{\{1\}\}\} \$ sigma model revisited},
  author={Shmuel Elitzur and Yaron Oz and Eliezer Rabinovici and Johannes Walcher},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2012},
  pages={1-21}
}
A bstractWe consider the topological sigma-model on Riemann surfaces with genus g and h holes, and target space $ \mathbb{C}{\mathbb{P}^1} \cong {S^2} $. We calculate the correlation functions of bulk and boundary operators, and study the symmetries of the model and its most general deformation. We study the open/closed topological field theory (TFT) correspondence by summing up the boundaries. We argue that this summation can be understood as a renormalization of the closed TFT. We couple the… 

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