Conformal field theory and Doplicher-Roberts reconstruction

@inproceedings{Mueger2000ConformalFT,
  title={Conformal field theory and Doplicher-Roberts reconstruction},
  author={Michael Mueger},
  year={2000}
}
After a brief review of recent rigorous results concerning the representation theory of rational chiral conformal field theories (RC- QFTs) we focus on pairs (A, F) of conformal field theories, where F has a finite group G of global symmetries and A is the fixpoint theory. The comparison of the representation categories of A and F is strongly intertwined with various issues related to braided tensor categories. We explain that, given the representation category of A, the representation category… 
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Correspondences of ribbon categories
  • Fr
  • Mathematics
  • 2003
Much of algebra and representation theory can be formulated in the general framework of tensor categories. The aim of this paper is to further develop this theory for braided tensor categories.
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