Cluster decomposition, T-duality, and gerby CFTs

@article{Hellerman2006ClusterDT,
  title={Cluster decomposition, T-duality, and gerby CFTs},
  author={Simeon Hellerman and Andr{\'e} Henriques and Tony Pantev and Eric Sharpe and Matthew Ando},
  journal={Advances in Theoretical and Mathematical Physics},
  year={2006},
  volume={11},
  pages={751-818}
}
In this paper we study CFT’s associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT’s are the same as CFT’s for disconnected targets. Such theories also lack cluster decomposition, but in that form, the lack is manifestly not very problematic. In particular, we shall see that this matching of CFT’s, this duality between noneffective-gaugings and sigma models on disconnected targets, is a worldsheet duality related to T-duality… 

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