English

Open/Closed Topological CP1 Sigma Model Revisited

High Energy Physics - Theory 2015-05-28 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1106.2967,
  title  = {Open/Closed Topological CP1 Sigma Model Revisited},
  author = {Shmuel Elitzur and Yaron Oz and Eliezer Rabinovici and Johannes Walcher},
  journal= {arXiv preprint arXiv:1106.2967},
  year   = {2015}
}

Comments

25 pages

R2 v1 2026-06-21T18:22:48.510Z