Open/closed topological CP1 sigma model revisited

We consider the topological sigma-model on Riemann surfaces with genus g and h holes, and target space CP1≅S2CP1≅S2 \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...

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Bibliographic Details
Main Authors: Elitzur, Shmuel (Author) , Walcher, Johannes (Author)
Format: Article (Journal)
Language:English
Published: 23 January 2012
In: Journal of high energy physics
Year: 2012, Issue: 1
ISSN:1029-8479
DOI:10.1007/JHEP01(2012)101
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1007/JHEP01(2012)101
Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/JHEP01(2012)101
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Author Notes:Shmuel Elitzur, Yaron Oz, Eliezer Rabinovici and Johannes Walcher
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Summary:We consider the topological sigma-model on Riemann surfaces with genus g and h holes, and target space CP1≅S2CP1≅S2 \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 model to topological gravity and derive constitutive relations between the correlation functions of bulk and boundary operators.
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Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1007/JHEP01(2012)101