Open/Closed Topological CP1 Sigma Model Revisited

Details Open/Closed Topological CP1 Sigma Model Revisited Open/Closed Topological CP1 Sigma Model Revisited

2011-06-15

arxiv.org/abs/1106.2967v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

We consider the topological sigma-model on Riemann surfaces with genus g and h holes, and target space CP1. 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 model to topological gravity and derive constitutive relations between the correlation functions of bulk and boundary operators.

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